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Finding the Fourth Proportional to 331,470.87, 497,206.35 and 118,230.16

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Solution

The fourth proportional to 331,470.87, 497,206.35 and 118,230.16 is: 177,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,470.87 : 497,206.35 = 118,230.16 : x
  2. Step 2: Convert to fraction form
    331,470.87/497,206.35 = 118,230.16/x
  3. Step 3: Cross multiply
    331,470.87x = 497,206.35 × 118,230.16
  4. Step 4: Simplify right side
    331,470.87x = 58,784,786,313.52
  5. Step 5: Solve for x
    x = 58,784,786,313.52/331,470.87
  6. Step 6: Final answer
    x = 177,345.26

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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.