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Finding the Fourth Proportional to 415,234.31, 573,023.32 and 224,247.68

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Solution

The fourth proportional to 415,234.31, 573,023.32 and 224,247.68 is: 309,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,234.31 : 573,023.32 = 224,247.68 : x
  2. Step 2: Convert to fraction form
    415,234.31/573,023.32 = 224,247.68/x
  3. Step 3: Cross multiply
    415,234.31x = 573,023.32 × 224,247.68
  4. Step 4: Simplify right side
    415,234.31x = 128,499,146,670.16
  5. Step 5: Solve for x
    x = 128,499,146,670.16/415,234.31
  6. Step 6: Final answer
    x = 309,461.77

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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.