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Finding the Fourth Proportional to 385,645.34, 533,206.05 and 337,761.38

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Solution

The fourth proportional to 385,645.34, 533,206.05 and 337,761.38 is: 467,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,645.34 : 533,206.05 = 337,761.38 : x
  2. Step 2: Convert to fraction form
    385,645.34/533,206.05 = 337,761.38/x
  3. Step 3: Cross multiply
    385,645.34x = 533,206.05 × 337,761.38
  4. Step 4: Simplify right side
    385,645.34x = 180,096,411,272.35
  5. Step 5: Solve for x
    x = 180,096,411,272.35/385,645.34
  6. Step 6: Final answer
    x = 467,000.10

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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.