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Finding the Fourth Proportional to 294,704.46, 406,726.72 and 165,643.11

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Solution

The fourth proportional to 294,704.46, 406,726.72 and 165,643.11 is: 228,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,704.46 : 406,726.72 = 165,643.11 : x
  2. Step 2: Convert to fraction form
    294,704.46/406,726.72 = 165,643.11/x
  3. Step 3: Cross multiply
    294,704.46x = 406,726.72 × 165,643.11
  4. Step 4: Simplify right side
    294,704.46x = 67,371,478,406.79
  5. Step 5: Solve for x
    x = 67,371,478,406.79/294,704.46
  6. Step 6: Final answer
    x = 228,606.92

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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.