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Finding the Fourth Proportional to 561,861.06, 842,792.41 and 229,437.06

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Solution

The fourth proportional to 561,861.06, 842,792.41 and 229,437.06 is: 344,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,861.06 : 842,792.41 = 229,437.06 : x
  2. Step 2: Convert to fraction form
    561,861.06/842,792.41 = 229,437.06/x
  3. Step 3: Cross multiply
    561,861.06x = 842,792.41 × 229,437.06
  4. Step 4: Simplify right side
    561,861.06x = 193,367,812,740.72
  5. Step 5: Solve for x
    x = 193,367,812,740.72/561,861.06
  6. Step 6: Final answer
    x = 344,155.92

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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.