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Finding the Fourth Proportional to 288,934.80, 433,229.40 and 148,966.80

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Solution

The fourth proportional to 288,934.80, 433,229.40 and 148,966.80 is: 223,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,934.80 : 433,229.40 = 148,966.80 : x
  2. Step 2: Convert to fraction form
    288,934.80/433,229.40 = 148,966.80/x
  3. Step 3: Cross multiply
    288,934.80x = 433,229.40 × 148,966.80
  4. Step 4: Simplify right side
    288,934.80x = 64,536,797,383.92
  5. Step 5: Solve for x
    x = 64,536,797,383.92/288,934.80
  6. Step 6: Final answer
    x = 223,361.11

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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.