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Finding the Fourth Proportional to 288,854.34, 398,588.34 and 159,772.24

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Solution

The fourth proportional to 288,854.34, 398,588.34 and 159,772.24 is: 220,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,854.34 : 398,588.34 = 159,772.24 : x
  2. Step 2: Convert to fraction form
    288,854.34/398,588.34 = 159,772.24/x
  3. Step 3: Cross multiply
    288,854.34x = 398,588.34 × 159,772.24
  4. Step 4: Simplify right side
    288,854.34x = 63,683,351,919.68
  5. Step 5: Solve for x
    x = 63,683,351,919.68/288,854.34
  6. Step 6: Final answer
    x = 220,468.74

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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.