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Finding the Fourth Proportional to 523,315.40, 784,973.10 and 470,827.40

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Solution

The fourth proportional to 523,315.40, 784,973.10 and 470,827.40 is: 706,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,315.40 : 784,973.10 = 470,827.40 : x
  2. Step 2: Convert to fraction form
    523,315.40/784,973.10 = 470,827.40/x
  3. Step 3: Cross multiply
    523,315.40x = 784,973.10 × 470,827.40
  4. Step 4: Simplify right side
    523,315.40x = 369,586,843,742.94
  5. Step 5: Solve for x
    x = 369,586,843,742.94/523,315.40
  6. Step 6: Final answer
    x = 706,241.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.