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Finding the Fourth Proportional to 415,680.37, 573,638.65 and 224,693.76

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Solution

The fourth proportional to 415,680.37, 573,638.65 and 224,693.76 is: 310,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,680.37 : 573,638.65 = 224,693.76 : x
  2. Step 2: Convert to fraction form
    415,680.37/573,638.65 = 224,693.76/x
  3. Step 3: Cross multiply
    415,680.37x = 573,638.65 × 224,693.76
  4. Step 4: Simplify right side
    415,680.37x = 128,893,025,149.82
  5. Step 5: Solve for x
    x = 128,893,025,149.82/415,680.37
  6. Step 6: Final answer
    x = 310,077.25

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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.