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Finding the Fourth Proportional to 546,806.28, 754,965.78 and 353,682.12

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Solution

The fourth proportional to 546,806.28, 754,965.78 and 353,682.12 is: 488,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,806.28 : 754,965.78 = 353,682.12 : x
  2. Step 2: Convert to fraction form
    546,806.28/754,965.78 = 353,682.12/x
  3. Step 3: Cross multiply
    546,806.28x = 754,965.78 × 353,682.12
  4. Step 4: Simplify right side
    546,806.28x = 267,017,897,597.85
  5. Step 5: Solve for x
    x = 267,017,897,597.85/546,806.28
  6. Step 6: Final answer
    x = 488,322.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.