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Finding the Fourth Proportional to 514,546.75, 710,096.52 and 299,652.13

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Solution

The fourth proportional to 514,546.75, 710,096.52 and 299,652.13 is: 413,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,546.75 : 710,096.52 = 299,652.13 : x
  2. Step 2: Convert to fraction form
    514,546.75/710,096.52 = 299,652.13/x
  3. Step 3: Cross multiply
    514,546.75x = 710,096.52 × 299,652.13
  4. Step 4: Simplify right side
    514,546.75x = 212,781,934,723.59
  5. Step 5: Solve for x
    x = 212,781,934,723.59/514,546.75
  6. Step 6: Final answer
    x = 413,532.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.