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Finding the Fourth Proportional to 415,947.32, 574,007.64 and 224,960.48

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Solution

The fourth proportional to 415,947.32, 574,007.64 and 224,960.48 is: 310,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,947.32 : 574,007.64 = 224,960.48 : x
  2. Step 2: Convert to fraction form
    415,947.32/574,007.64 = 224,960.48/x
  3. Step 3: Cross multiply
    415,947.32x = 574,007.64 × 224,960.48
  4. Step 4: Simplify right side
    415,947.32x = 129,129,034,218.07
  5. Step 5: Solve for x
    x = 129,129,034,218.07/415,947.32
  6. Step 6: Final answer
    x = 310,445.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.