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Finding the Fourth Proportional to 418,344.48, 627,511.20 and 102,804.16

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Solution

The fourth proportional to 418,344.48, 627,511.20 and 102,804.16 is: 154,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,344.48 : 627,511.20 = 102,804.16 : x
  2. Step 2: Convert to fraction form
    418,344.48/627,511.20 = 102,804.16/x
  3. Step 3: Cross multiply
    418,344.48x = 627,511.20 × 102,804.16
  4. Step 4: Simplify right side
    418,344.48x = 64,510,761,806.59
  5. Step 5: Solve for x
    x = 64,510,761,806.59/418,344.48
  6. Step 6: Final answer
    x = 154,204.88

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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.