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Finding the Fourth Proportional to 472,651.90, 708,893.65 and 188,318.61

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Solution

The fourth proportional to 472,651.90, 708,893.65 and 188,318.61 is: 282,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,651.90 : 708,893.65 = 188,318.61 : x
  2. Step 2: Convert to fraction form
    472,651.90/708,893.65 = 188,318.61/x
  3. Step 3: Cross multiply
    472,651.90x = 708,893.65 × 188,318.61
  4. Step 4: Simplify right side
    472,651.90x = 133,497,866,805.83
  5. Step 5: Solve for x
    x = 133,497,866,805.83/472,651.90
  6. Step 6: Final answer
    x = 282,444.37

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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.