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Finding the Fourth Proportional to 415,358.96, 573,194.88 and 224,372.32

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Solution

The fourth proportional to 415,358.96, 573,194.88 and 224,372.32 is: 309,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,358.96 : 573,194.88 = 224,372.32 : x
  2. Step 2: Convert to fraction form
    415,358.96/573,194.88 = 224,372.32/x
  3. Step 3: Cross multiply
    415,358.96x = 573,194.88 × 224,372.32
  4. Step 4: Simplify right side
    415,358.96x = 128,609,065,037.72
  5. Step 5: Solve for x
    x = 128,609,065,037.72/415,358.96
  6. Step 6: Final answer
    x = 309,633.54

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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.