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Finding the Fourth Proportional to 460,847.46, 691,121.76 and 176,522.88

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Solution

The fourth proportional to 460,847.46, 691,121.76 and 176,522.88 is: 264,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,847.46 : 691,121.76 = 176,522.88 : x
  2. Step 2: Convert to fraction form
    460,847.46/691,121.76 = 176,522.88/x
  3. Step 3: Cross multiply
    460,847.46x = 691,121.76 × 176,522.88
  4. Step 4: Simplify right side
    460,847.46x = 121,998,803,505.87
  5. Step 5: Solve for x
    x = 121,998,803,505.87/460,847.46
  6. Step 6: Final answer
    x = 264,727.08

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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.