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Finding the Fourth Proportional to 415,311.84, 573,142.24 and 234,013.79

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Solution

The fourth proportional to 415,311.84, 573,142.24 and 234,013.79 is: 322,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,311.84 : 573,142.24 = 234,013.79 : x
  2. Step 2: Convert to fraction form
    415,311.84/573,142.24 = 234,013.79/x
  3. Step 3: Cross multiply
    415,311.84x = 573,142.24 × 234,013.79
  4. Step 4: Simplify right side
    415,311.84x = 134,123,188,639.31
  5. Step 5: Solve for x
    x = 134,123,188,639.31/415,311.84
  6. Step 6: Final answer
    x = 322,945.74

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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.