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Finding the Fourth Proportional to 417,864.50, 627,045.82 and 151,645.82

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Solution

The fourth proportional to 417,864.50, 627,045.82 and 151,645.82 is: 227,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,864.50 : 627,045.82 = 151,645.82 : x
  2. Step 2: Convert to fraction form
    417,864.50/627,045.82 = 151,645.82/x
  3. Step 3: Cross multiply
    417,864.50x = 627,045.82 × 151,645.82
  4. Step 4: Simplify right side
    417,864.50x = 95,088,877,551.47
  5. Step 5: Solve for x
    x = 95,088,877,551.47/417,864.50
  6. Step 6: Final answer
    x = 227,559.12

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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.