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Finding the Fourth Proportional to 288,852.13, 398,608.48 and 159,787.24

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Solution

The fourth proportional to 288,852.13, 398,608.48 and 159,787.24 is: 220,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,852.13 : 398,608.48 = 159,787.24 : x
  2. Step 2: Convert to fraction form
    288,852.13/398,608.48 = 159,787.24/x
  3. Step 3: Cross multiply
    288,852.13x = 398,608.48 × 159,787.24
  4. Step 4: Simplify right side
    288,852.13x = 63,692,548,060.86
  5. Step 5: Solve for x
    x = 63,692,548,060.86/288,852.13
  6. Step 6: Final answer
    x = 220,502.26

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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.