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Finding the Fourth Proportional to 402,755.61, 604,101.65 and 234,168.38

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Solution

The fourth proportional to 402,755.61, 604,101.65 and 234,168.38 is: 351,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,755.61 : 604,101.65 = 234,168.38 : x
  2. Step 2: Convert to fraction form
    402,755.61/604,101.65 = 234,168.38/x
  3. Step 3: Cross multiply
    402,755.61x = 604,101.65 × 234,168.38
  4. Step 4: Simplify right side
    402,755.61x = 141,461,500,544.48
  5. Step 5: Solve for x
    x = 141,461,500,544.48/402,755.61
  6. Step 6: Final answer
    x = 351,234.09

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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.