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Finding the Fourth Proportional to 415,711.57, 573,682.83 and 224,724.96

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Solution

The fourth proportional to 415,711.57, 573,682.83 and 224,724.96 is: 310,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,711.57 : 573,682.83 = 224,724.96 : x
  2. Step 2: Convert to fraction form
    415,711.57/573,682.83 = 224,724.96/x
  3. Step 3: Cross multiply
    415,711.57x = 573,682.83 × 224,724.96
  4. Step 4: Simplify right side
    415,711.57x = 128,920,849,200.27
  5. Step 5: Solve for x
    x = 128,920,849,200.27/415,711.57
  6. Step 6: Final answer
    x = 310,120.91

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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.