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Finding the Fourth Proportional to 523,005.34, 784,508.01 and 365,541.34

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Solution

The fourth proportional to 523,005.34, 784,508.01 and 365,541.34 is: 548,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,005.34 : 784,508.01 = 365,541.34 : x
  2. Step 2: Convert to fraction form
    523,005.34/784,508.01 = 365,541.34/x
  3. Step 3: Cross multiply
    523,005.34x = 784,508.01 × 365,541.34
  4. Step 4: Simplify right side
    523,005.34x = 286,770,109,216.13
  5. Step 5: Solve for x
    x = 286,770,109,216.13/523,005.34
  6. Step 6: Final answer
    x = 548,312.01

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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.