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Finding the Fourth Proportional to 497,177.80, 745,766.70 and 142,203.40

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Solution

The fourth proportional to 497,177.80, 745,766.70 and 142,203.40 is: 213,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,177.80 : 745,766.70 = 142,203.40 : x
  2. Step 2: Convert to fraction form
    497,177.80/745,766.70 = 142,203.40/x
  3. Step 3: Cross multiply
    497,177.80x = 745,766.70 × 142,203.40
  4. Step 4: Simplify right side
    497,177.80x = 106,050,560,346.78
  5. Step 5: Solve for x
    x = 106,050,560,346.78/497,177.80
  6. Step 6: Final answer
    x = 213,305.10

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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.