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Finding the Fourth Proportional to 472,634, 708,553.56 and 192,352.40

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Solution

The fourth proportional to 472,634, 708,553.56 and 192,352.40 is: 288,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,634 : 708,553.56 = 192,352.40 : x
  2. Step 2: Convert to fraction form
    472,634/708,553.56 = 192,352.40/x
  3. Step 3: Cross multiply
    472,634x = 708,553.56 × 192,352.40
  4. Step 4: Simplify right side
    472,634x = 136,291,977,794.54
  5. Step 5: Solve for x
    x = 136,291,977,794.54/472,634
  6. Step 6: Final answer
    x = 288,366.85

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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.