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Finding the Fourth Proportional to 497,717.92, 746,154.08 and 231,632.96

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Solution

The fourth proportional to 497,717.92, 746,154.08 and 231,632.96 is: 347,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,717.92 : 746,154.08 = 231,632.96 : x
  2. Step 2: Convert to fraction form
    497,717.92/746,154.08 = 231,632.96/x
  3. Step 3: Cross multiply
    497,717.92x = 746,154.08 × 231,632.96
  4. Step 4: Simplify right side
    497,717.92x = 172,833,878,166.48
  5. Step 5: Solve for x
    x = 172,833,878,166.48/497,717.92
  6. Step 6: Final answer
    x = 347,252.67

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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.