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Finding the Fourth Proportional to 412,400.97, 569,104.04 and 240,308.17

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Solution

The fourth proportional to 412,400.97, 569,104.04 and 240,308.17 is: 331,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,400.97 : 569,104.04 = 240,308.17 : x
  2. Step 2: Convert to fraction form
    412,400.97/569,104.04 = 240,308.17/x
  3. Step 3: Cross multiply
    412,400.97x = 569,104.04 × 240,308.17
  4. Step 4: Simplify right side
    412,400.97x = 136,760,349,570.02
  5. Step 5: Solve for x
    x = 136,760,349,570.02/412,400.97
  6. Step 6: Final answer
    x = 331,619.85

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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.