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Finding the Fourth Proportional to 426,583.71, 588,680.60 and 232,990.47

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Solution

The fourth proportional to 426,583.71, 588,680.60 and 232,990.47 is: 321,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,583.71 : 588,680.60 = 232,990.47 : x
  2. Step 2: Convert to fraction form
    426,583.71/588,680.60 = 232,990.47/x
  3. Step 3: Cross multiply
    426,583.71x = 588,680.60 × 232,990.47
  4. Step 4: Simplify right side
    426,583.71x = 137,156,968,508.93
  5. Step 5: Solve for x
    x = 137,156,968,508.93/426,583.71
  6. Step 6: Final answer
    x = 321,524.16

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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.