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Finding the Fourth Proportional to 418,074.02, 627,152.55 and 133,693.11

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Solution

The fourth proportional to 418,074.02, 627,152.55 and 133,693.11 is: 200,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,074.02 : 627,152.55 = 133,693.11 : x
  2. Step 2: Convert to fraction form
    418,074.02/627,152.55 = 133,693.11/x
  3. Step 3: Cross multiply
    418,074.02x = 627,152.55 × 133,693.11
  4. Step 4: Simplify right side
    418,074.02x = 83,845,974,853.93
  5. Step 5: Solve for x
    x = 83,845,974,853.93/418,074.02
  6. Step 6: Final answer
    x = 200,552.94

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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.