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Finding the Fourth Proportional to 294,644.56, 406,609.56 and 160,508.56

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Solution

The fourth proportional to 294,644.56, 406,609.56 and 160,508.56 is: 221,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,644.56 : 406,609.56 = 160,508.56 : x
  2. Step 2: Convert to fraction form
    294,644.56/406,609.56 = 160,508.56/x
  3. Step 3: Cross multiply
    294,644.56x = 406,609.56 × 160,508.56
  4. Step 4: Simplify right side
    294,644.56x = 65,264,314,957.83
  5. Step 5: Solve for x
    x = 65,264,314,957.83/294,644.56
  6. Step 6: Final answer
    x = 221,501.85

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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.