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Finding the Fourth Proportional to 470,952.20, 706,428.30 and 411,903.20

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Solution

The fourth proportional to 470,952.20, 706,428.30 and 411,903.20 is: 617,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,952.20 : 706,428.30 = 411,903.20 : x
  2. Step 2: Convert to fraction form
    470,952.20/706,428.30 = 411,903.20/x
  3. Step 3: Cross multiply
    470,952.20x = 706,428.30 × 411,903.20
  4. Step 4: Simplify right side
    470,952.20x = 290,980,077,340.56
  5. Step 5: Solve for x
    x = 290,980,077,340.56/470,952.20
  6. Step 6: Final answer
    x = 617,854.80

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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.