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Finding the Fourth Proportional to 415,295.65, 573,108.49 and 224,309.04

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Solution

The fourth proportional to 415,295.65, 573,108.49 and 224,309.04 is: 309,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,295.65 : 573,108.49 = 224,309.04 : x
  2. Step 2: Convert to fraction form
    415,295.65/573,108.49 = 224,309.04/x
  3. Step 3: Cross multiply
    415,295.65x = 573,108.49 × 224,309.04
  4. Step 4: Simplify right side
    415,295.65x = 128,553,414,646.98
  5. Step 5: Solve for x
    x = 128,553,414,646.98/415,295.65
  6. Step 6: Final answer
    x = 309,546.74

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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.