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Finding the Fourth Proportional to 294,560.38, 406,459.10 and 165,480.94

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Solution

The fourth proportional to 294,560.38, 406,459.10 and 165,480.94 is: 228,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,560.38 : 406,459.10 = 165,480.94 : x
  2. Step 2: Convert to fraction form
    294,560.38/406,459.10 = 165,480.94/x
  3. Step 3: Cross multiply
    294,560.38x = 406,459.10 × 165,480.94
  4. Step 4: Simplify right side
    294,560.38x = 67,261,231,079.85
  5. Step 5: Solve for x
    x = 67,261,231,079.85/294,560.38
  6. Step 6: Final answer
    x = 228,344.46

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1.5x scale

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.