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Finding the Fourth Proportional to 412,746.84, 569,596.86 and 240,660.11

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Solution

The fourth proportional to 412,746.84, 569,596.86 and 240,660.11 is: 332,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,746.84 : 569,596.86 = 240,660.11 : x
  2. Step 2: Convert to fraction form
    412,746.84/569,596.86 = 240,660.11/x
  3. Step 3: Cross multiply
    412,746.84x = 569,596.86 × 240,660.11
  4. Step 4: Simplify right side
    412,746.84x = 137,079,244,407.25
  5. Step 5: Solve for x
    x = 137,079,244,407.25/412,746.84
  6. Step 6: Final answer
    x = 332,114.58

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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.