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Finding the Fourth Proportional to 418,732.47, 627,718.59 and 152,304.63

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Solution

The fourth proportional to 418,732.47, 627,718.59 and 152,304.63 is: 228,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,732.47 : 627,718.59 = 152,304.63 : x
  2. Step 2: Convert to fraction form
    418,732.47/627,718.59 = 152,304.63/x
  3. Step 3: Cross multiply
    418,732.47x = 627,718.59 × 152,304.63
  4. Step 4: Simplify right side
    418,732.47x = 95,604,447,594.07
  5. Step 5: Solve for x
    x = 95,604,447,594.07/418,732.47
  6. Step 6: Final answer
    x = 228,318.69

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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.