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Finding the Fourth Proportional to 288,616.47, 398,256.22 and 159,537.50

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Solution

The fourth proportional to 288,616.47, 398,256.22 and 159,537.50 is: 220,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,616.47 : 398,256.22 = 159,537.50 : x
  2. Step 2: Convert to fraction form
    288,616.47/398,256.22 = 159,537.50/x
  3. Step 3: Cross multiply
    288,616.47x = 398,256.22 × 159,537.50
  4. Step 4: Simplify right side
    288,616.47x = 63,536,801,698.25
  5. Step 5: Solve for x
    x = 63,536,801,698.25/288,616.47
  6. Step 6: Final answer
    x = 220,142.67

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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.