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Finding the Fourth Proportional to 415,946.28, 574,005.86 and 224,959.66

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Solution

The fourth proportional to 415,946.28, 574,005.86 and 224,959.66 is: 310,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,946.28 : 574,005.86 = 224,959.66 : x
  2. Step 2: Convert to fraction form
    415,946.28/574,005.86 = 224,959.66/x
  3. Step 3: Cross multiply
    415,946.28x = 574,005.86 × 224,959.66
  4. Step 4: Simplify right side
    415,946.28x = 129,128,161,978.81
  5. Step 5: Solve for x
    x = 129,128,161,978.81/415,946.28
  6. Step 6: Final answer
    x = 310,444.33

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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.