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Finding the Fourth Proportional to 418,253.88, 627,382.94 and 102,710.91

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Solution

The fourth proportional to 418,253.88, 627,382.94 and 102,710.91 is: 154,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,253.88 : 627,382.94 = 102,710.91 : x
  2. Step 2: Convert to fraction form
    418,253.88/627,382.94 = 102,710.91/x
  3. Step 3: Cross multiply
    418,253.88x = 627,382.94 × 102,710.91
  4. Step 4: Simplify right side
    418,253.88x = 64,439,072,172.32
  5. Step 5: Solve for x
    x = 64,439,072,172.32/418,253.88
  6. Step 6: Final answer
    x = 154,066.88

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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.