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Finding the Fourth Proportional to 288,026.80, 432,040.20 and 197,825.20

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Solution

The fourth proportional to 288,026.80, 432,040.20 and 197,825.20 is: 296,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,026.80 : 432,040.20 = 197,825.20 : x
  2. Step 2: Convert to fraction form
    288,026.80/432,040.20 = 197,825.20/x
  3. Step 3: Cross multiply
    288,026.80x = 432,040.20 × 197,825.20
  4. Step 4: Simplify right side
    288,026.80x = 85,468,438,973.04
  5. Step 5: Solve for x
    x = 85,468,438,973.04/288,026.80
  6. Step 6: Final answer
    x = 296,737.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.