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Finding the Fourth Proportional to 543,056.54, 814,658.92 and 315,459.10

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Solution

The fourth proportional to 543,056.54, 814,658.92 and 315,459.10 is: 473,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,056.54 : 814,658.92 = 315,459.10 : x
  2. Step 2: Convert to fraction form
    543,056.54/814,658.92 = 315,459.10/x
  3. Step 3: Cross multiply
    543,056.54x = 814,658.92 × 315,459.10
  4. Step 4: Simplify right side
    543,056.54x = 256,991,569,710.17
  5. Step 5: Solve for x
    x = 256,991,569,710.17/543,056.54
  6. Step 6: Final answer
    x = 473,231.70

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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.