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Finding the Fourth Proportional to 391,554.80, 587,332.20 and 312,822.80

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Solution

The fourth proportional to 391,554.80, 587,332.20 and 312,822.80 is: 469,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,554.80 : 587,332.20 = 312,822.80 : x
  2. Step 2: Convert to fraction form
    391,554.80/587,332.20 = 312,822.80/x
  3. Step 3: Cross multiply
    391,554.80x = 587,332.20 × 312,822.80
  4. Step 4: Simplify right side
    391,554.80x = 183,730,903,334.16
  5. Step 5: Solve for x
    x = 183,730,903,334.16/391,554.80
  6. Step 6: Final answer
    x = 469,234.20

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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.