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Finding the Fourth Proportional to 391,567.30, 587,350.95 and 312,835.30

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Solution

The fourth proportional to 391,567.30, 587,350.95 and 312,835.30 is: 469,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,567.30 : 587,350.95 = 312,835.30 : x
  2. Step 2: Convert to fraction form
    391,567.30/587,350.95 = 312,835.30/x
  3. Step 3: Cross multiply
    391,567.30x = 587,350.95 × 312,835.30
  4. Step 4: Simplify right side
    391,567.30x = 183,744,110,648.54
  5. Step 5: Solve for x
    x = 183,744,110,648.54/391,567.30
  6. Step 6: Final answer
    x = 469,252.95

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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.