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Finding the Fourth Proportional to 472,650.90, 708,892.16 and 188,317.61

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Solution

The fourth proportional to 472,650.90, 708,892.16 and 188,317.61 is: 282,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,650.90 : 708,892.16 = 188,317.61 : x
  2. Step 2: Convert to fraction form
    472,650.90/708,892.16 = 188,317.61/x
  3. Step 3: Cross multiply
    472,650.90x = 708,892.16 × 188,317.61
  4. Step 4: Simplify right side
    472,650.90x = 133,496,875,491.23
  5. Step 5: Solve for x
    x = 133,496,875,491.23/472,650.90
  6. Step 6: Final answer
    x = 282,442.87

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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.