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Finding the Fourth Proportional to 415,225.68, 573,013.30 and 233,940.38

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Solution

The fourth proportional to 415,225.68, 573,013.30 and 233,940.38 is: 322,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,225.68 : 573,013.30 = 233,940.38 : x
  2. Step 2: Convert to fraction form
    415,225.68/573,013.30 = 233,940.38/x
  3. Step 3: Cross multiply
    415,225.68x = 573,013.30 × 233,940.38
  4. Step 4: Simplify right side
    415,225.68x = 134,050,949,147.05
  5. Step 5: Solve for x
    x = 134,050,949,147.05/415,225.68
  6. Step 6: Final answer
    x = 322,838.77

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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.