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Finding the Fourth Proportional to 426,581.28, 588,672 and 232,981.92

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Solution

The fourth proportional to 426,581.28, 588,672 and 232,981.92 is: 321,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,581.28 : 588,672 = 232,981.92 : x
  2. Step 2: Convert to fraction form
    426,581.28/588,672 = 232,981.92/x
  3. Step 3: Cross multiply
    426,581.28x = 588,672 × 232,981.92
  4. Step 4: Simplify right side
    426,581.28x = 137,149,932,810.24
  5. Step 5: Solve for x
    x = 137,149,932,810.24/426,581.28
  6. Step 6: Final answer
    x = 321,509.50

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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.