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Finding the Fourth Proportional to 415,876.32, 573,906.60 and 224,888.94

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Solution

The fourth proportional to 415,876.32, 573,906.60 and 224,888.94 is: 310,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,876.32 : 573,906.60 = 224,888.94 : x
  2. Step 2: Convert to fraction form
    415,876.32/573,906.60 = 224,888.94/x
  3. Step 3: Cross multiply
    415,876.32x = 573,906.60 × 224,888.94
  4. Step 4: Simplify right side
    415,876.32x = 129,065,246,933.00
  5. Step 5: Solve for x
    x = 129,065,246,933.00/415,876.32
  6. Step 6: Final answer
    x = 310,345.27

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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.