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Finding the Fourth Proportional to 294,705.86, 406,694.13 and 160,569.86

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Solution

The fourth proportional to 294,705.86, 406,694.13 and 160,569.86 is: 221,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,705.86 : 406,694.13 = 160,569.86 : x
  2. Step 2: Convert to fraction form
    294,705.86/406,694.13 = 160,569.86/x
  3. Step 3: Cross multiply
    294,705.86x = 406,694.13 × 160,569.86
  4. Step 4: Simplify right side
    294,705.86x = 65,302,819,516.92
  5. Step 5: Solve for x
    x = 65,302,819,516.92/294,705.86
  6. Step 6: Final answer
    x = 221,586.43

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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.