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Finding the Fourth Proportional to 415,936.72, 573,992.85 and 224,950.06

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Solution

The fourth proportional to 415,936.72, 573,992.85 and 224,950.06 is: 310,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,936.72 : 573,992.85 = 224,950.06 : x
  2. Step 2: Convert to fraction form
    415,936.72/573,992.85 = 224,950.06/x
  3. Step 3: Cross multiply
    415,936.72x = 573,992.85 × 224,950.06
  4. Step 4: Simplify right side
    415,936.72x = 129,119,726,047.07
  5. Step 5: Solve for x
    x = 129,119,726,047.07/415,936.72
  6. Step 6: Final answer
    x = 310,431.18

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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.