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Finding the Fourth Proportional to 265,886.96, 397,273.41 and 256,584.92

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Solution

The fourth proportional to 265,886.96, 397,273.41 and 256,584.92 is: 383,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,886.96 : 397,273.41 = 256,584.92 : x
  2. Step 2: Convert to fraction form
    265,886.96/397,273.41 = 256,584.92/x
  3. Step 3: Cross multiply
    265,886.96x = 397,273.41 × 256,584.92
  4. Step 4: Simplify right side
    265,886.96x = 101,934,364,136.61
  5. Step 5: Solve for x
    x = 101,934,364,136.61/265,886.96
  6. Step 6: Final answer
    x = 383,374.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.