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Finding the Fourth Proportional to 406,442.98, 560,955.27 and 245,321.02

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Solution

The fourth proportional to 406,442.98, 560,955.27 and 245,321.02 is: 338,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,442.98 : 560,955.27 = 245,321.02 : x
  2. Step 2: Convert to fraction form
    406,442.98/560,955.27 = 245,321.02/x
  3. Step 3: Cross multiply
    406,442.98x = 560,955.27 × 245,321.02
  4. Step 4: Simplify right side
    406,442.98x = 137,614,119,010.78
  5. Step 5: Solve for x
    x = 137,614,119,010.78/406,442.98
  6. Step 6: Final answer
    x = 338,581.61

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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.