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Finding the Fourth Proportional to 540,265.38, 745,611.12 and 298,595.13

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Solution

The fourth proportional to 540,265.38, 745,611.12 and 298,595.13 is: 412,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,265.38 : 745,611.12 = 298,595.13 : x
  2. Step 2: Convert to fraction form
    540,265.38/745,611.12 = 298,595.13/x
  3. Step 3: Cross multiply
    540,265.38x = 745,611.12 × 298,595.13
  4. Step 4: Simplify right side
    540,265.38x = 222,635,849,305.85
  5. Step 5: Solve for x
    x = 222,635,849,305.85/540,265.38
  6. Step 6: Final answer
    x = 412,086.09

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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.