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Finding the Fourth Proportional to 476,898.55, 658,177.22 and 286,016.95

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Solution

The fourth proportional to 476,898.55, 658,177.22 and 286,016.95 is: 394,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,898.55 : 658,177.22 = 286,016.95 : x
  2. Step 2: Convert to fraction form
    476,898.55/658,177.22 = 286,016.95/x
  3. Step 3: Cross multiply
    476,898.55x = 658,177.22 × 286,016.95
  4. Step 4: Simplify right side
    476,898.55x = 188,249,841,023.88
  5. Step 5: Solve for x
    x = 188,249,841,023.88/476,898.55
  6. Step 6: Final answer
    x = 394,737.71

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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.