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Finding the Fourth Proportional to 415,768.92, 573,761.12 and 224,782.32

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Solution

The fourth proportional to 415,768.92, 573,761.12 and 224,782.32 is: 310,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,768.92 : 573,761.12 = 224,782.32 : x
  2. Step 2: Convert to fraction form
    415,768.92/573,761.12 = 224,782.32/x
  3. Step 3: Cross multiply
    415,768.92x = 573,761.12 × 224,782.32
  4. Step 4: Simplify right side
    415,768.92x = 128,971,355,679.40
  5. Step 5: Solve for x
    x = 128,971,355,679.40/415,768.92
  6. Step 6: Final answer
    x = 310,199.61

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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.