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Finding the Fourth Proportional to 294,312.38, 406,139.12 and 166,985.24

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Solution

The fourth proportional to 294,312.38, 406,139.12 and 166,985.24 is: 230,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,312.38 : 406,139.12 = 166,985.24 : x
  2. Step 2: Convert to fraction form
    294,312.38/406,139.12 = 166,985.24/x
  3. Step 3: Cross multiply
    294,312.38x = 406,139.12 × 166,985.24
  4. Step 4: Simplify right side
    294,312.38x = 67,819,238,426.59
  5. Step 5: Solve for x
    x = 67,819,238,426.59/294,312.38
  6. Step 6: Final answer
    x = 230,432.84

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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.