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Finding the Fourth Proportional to 406,228.98, 560,589.13 and 224,937.02

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Solution

The fourth proportional to 406,228.98, 560,589.13 and 224,937.02 is: 310,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,228.98 : 560,589.13 = 224,937.02 : x
  2. Step 2: Convert to fraction form
    406,228.98/560,589.13 = 224,937.02/x
  3. Step 3: Cross multiply
    406,228.98x = 560,589.13 × 224,937.02
  4. Step 4: Simplify right side
    406,228.98x = 126,097,248,346.59
  5. Step 5: Solve for x
    x = 126,097,248,346.59/406,228.98
  6. Step 6: Final answer
    x = 310,409.29

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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.