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Finding the Fourth Proportional to 412,833.75, 569,710.40 and 240,718.50

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Solution

The fourth proportional to 412,833.75, 569,710.40 and 240,718.50 is: 332,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,833.75 : 569,710.40 = 240,718.50 : x
  2. Step 2: Convert to fraction form
    412,833.75/569,710.40 = 240,718.50/x
  3. Step 3: Cross multiply
    412,833.75x = 569,710.40 × 240,718.50
  4. Step 4: Simplify right side
    412,833.75x = 137,139,832,922.40
  5. Step 5: Solve for x
    x = 137,139,832,922.40/412,833.75
  6. Step 6: Final answer
    x = 332,191.43

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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.