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Finding the Fourth Proportional to 475,306.80, 712,960.20 and 195,025.20

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Solution

The fourth proportional to 475,306.80, 712,960.20 and 195,025.20 is: 292,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,306.80 : 712,960.20 = 195,025.20 : x
  2. Step 2: Convert to fraction form
    475,306.80/712,960.20 = 195,025.20/x
  3. Step 3: Cross multiply
    475,306.80x = 712,960.20 × 195,025.20
  4. Step 4: Simplify right side
    475,306.80x = 139,045,205,597.04
  5. Step 5: Solve for x
    x = 139,045,205,597.04/475,306.80
  6. Step 6: Final answer
    x = 292,537.80

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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.