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Finding the Fourth Proportional to 402,007.76, 602,444.68 and 222,174.16

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Solution

The fourth proportional to 402,007.76, 602,444.68 and 222,174.16 is: 332,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,007.76 : 602,444.68 = 222,174.16 : x
  2. Step 2: Convert to fraction form
    402,007.76/602,444.68 = 222,174.16/x
  3. Step 3: Cross multiply
    402,007.76x = 602,444.68 × 222,174.16
  4. Step 4: Simplify right side
    402,007.76x = 133,847,640,725.47
  5. Step 5: Solve for x
    x = 133,847,640,725.47/402,007.76
  6. Step 6: Final answer
    x = 332,947.90

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1.5x scale

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.