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Finding the Fourth Proportional to 472,193.78, 708,499.73 and 247,500.80

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Solution

The fourth proportional to 472,193.78, 708,499.73 and 247,500.80 is: 371,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,193.78 : 708,499.73 = 247,500.80 : x
  2. Step 2: Convert to fraction form
    472,193.78/708,499.73 = 247,500.80/x
  3. Step 3: Cross multiply
    472,193.78x = 708,499.73 × 247,500.80
  4. Step 4: Simplify right side
    472,193.78x = 175,354,249,974.78
  5. Step 5: Solve for x
    x = 175,354,249,974.78/472,193.78
  6. Step 6: Final answer
    x = 371,360.78

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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.