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Finding the Fourth Proportional to 462,436.83, 693,182.27 and 234,309.86

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Solution

The fourth proportional to 462,436.83, 693,182.27 and 234,309.86 is: 351,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,436.83 : 693,182.27 = 234,309.86 : x
  2. Step 2: Convert to fraction form
    462,436.83/693,182.27 = 234,309.86/x
  3. Step 3: Cross multiply
    462,436.83x = 693,182.27 × 234,309.86
  4. Step 4: Simplify right side
    462,436.83x = 162,419,436,000.72
  5. Step 5: Solve for x
    x = 162,419,436,000.72/462,436.83
  6. Step 6: Final answer
    x = 351,225.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.