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Finding the Fourth Proportional to 294,641.31, 406,605.08 and 160,505.31

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Solution

The fourth proportional to 294,641.31, 406,605.08 and 160,505.31 is: 221,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,641.31 : 406,605.08 = 160,505.31 : x
  2. Step 2: Convert to fraction form
    294,641.31/406,605.08 = 160,505.31/x
  3. Step 3: Cross multiply
    294,641.31x = 406,605.08 × 160,505.31
  4. Step 4: Simplify right side
    294,641.31x = 65,262,273,610.45
  5. Step 5: Solve for x
    x = 65,262,273,610.45/294,641.31
  6. Step 6: Final answer
    x = 221,497.36

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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.