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Finding the Fourth Proportional to 415,222.67, 573,009.17 and 233,937.38

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Solution

The fourth proportional to 415,222.67, 573,009.17 and 233,937.38 is: 322,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,222.67 : 573,009.17 = 233,937.38 : x
  2. Step 2: Convert to fraction form
    415,222.67/573,009.17 = 233,937.38/x
  3. Step 3: Cross multiply
    415,222.67x = 573,009.17 × 233,937.38
  4. Step 4: Simplify right side
    415,222.67x = 134,048,264,208.61
  5. Step 5: Solve for x
    x = 134,048,264,208.61/415,222.67
  6. Step 6: Final answer
    x = 322,834.65

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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.