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Finding the Fourth Proportional to 406,245.96, 560,612.55 and 224,954.01

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Solution

The fourth proportional to 406,245.96, 560,612.55 and 224,954.01 is: 310,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,245.96 : 560,612.55 = 224,954.01 : x
  2. Step 2: Convert to fraction form
    406,245.96/560,612.55 = 224,954.01/x
  3. Step 3: Cross multiply
    406,245.96x = 560,612.55 × 224,954.01
  4. Step 4: Simplify right side
    406,245.96x = 126,112,041,178.83
  5. Step 5: Solve for x
    x = 126,112,041,178.83/406,245.96
  6. Step 6: Final answer
    x = 310,432.73

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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.