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Finding the Fourth Proportional to 424,926.26, 586,375.98 and 233,902.34

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Solution

The fourth proportional to 424,926.26, 586,375.98 and 233,902.34 is: 322,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,926.26 : 586,375.98 = 233,902.34 : x
  2. Step 2: Convert to fraction form
    424,926.26/586,375.98 = 233,902.34/x
  3. Step 3: Cross multiply
    424,926.26x = 586,375.98 × 233,902.34
  4. Step 4: Simplify right side
    424,926.26x = 137,154,713,841.79
  5. Step 5: Solve for x
    x = 137,154,713,841.79/424,926.26
  6. Step 6: Final answer
    x = 322,772.98

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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.