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Finding the Fourth Proportional to 466,691.59, 643,766.02 and 294,548.38

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Solution

The fourth proportional to 466,691.59, 643,766.02 and 294,548.38 is: 406,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,691.59 : 643,766.02 = 294,548.38 : x
  2. Step 2: Convert to fraction form
    466,691.59/643,766.02 = 294,548.38/x
  3. Step 3: Cross multiply
    466,691.59x = 643,766.02 × 294,548.38
  4. Step 4: Simplify right side
    466,691.59x = 189,620,238,290.05
  5. Step 5: Solve for x
    x = 189,620,238,290.05/466,691.59
  6. Step 6: Final answer
    x = 406,307.38

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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.