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Finding the Fourth Proportional to 657,115.30, 984,290.55 and 546,523.30

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Solution

The fourth proportional to 657,115.30, 984,290.55 and 546,523.30 is: 818,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,115.30 : 984,290.55 = 546,523.30 : x
  2. Step 2: Convert to fraction form
    657,115.30/984,290.55 = 546,523.30/x
  3. Step 3: Cross multiply
    657,115.30x = 984,290.55 × 546,523.30
  4. Step 4: Simplify right side
    657,115.30x = 537,937,719,544.82
  5. Step 5: Solve for x
    x = 537,937,719,544.82/657,115.30
  6. Step 6: Final answer
    x = 818,635.21

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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.