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Finding the Fourth Proportional to 521,377.12, 782,101.18 and 166,417.86

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Solution

The fourth proportional to 521,377.12, 782,101.18 and 166,417.86 is: 249,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,377.12 : 782,101.18 = 166,417.86 : x
  2. Step 2: Convert to fraction form
    521,377.12/782,101.18 = 166,417.86/x
  3. Step 3: Cross multiply
    521,377.12x = 782,101.18 × 166,417.86
  4. Step 4: Simplify right side
    521,377.12x = 130,155,604,679.08
  5. Step 5: Solve for x
    x = 130,155,604,679.08/521,377.12
  6. Step 6: Final answer
    x = 249,638.12

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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.