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Finding the Fourth Proportional to 426,532.64, 588,615.27 and 232,943

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Solution

The fourth proportional to 426,532.64, 588,615.27 and 232,943 is: 321,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,532.64 : 588,615.27 = 232,943 : x
  2. Step 2: Convert to fraction form
    426,532.64/588,615.27 = 232,943/x
  3. Step 3: Cross multiply
    426,532.64x = 588,615.27 × 232,943
  4. Step 4: Simplify right side
    426,532.64x = 137,113,806,839.61
  5. Step 5: Solve for x
    x = 137,113,806,839.61/426,532.64
  6. Step 6: Final answer
    x = 321,461.46

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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.