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Finding the Fourth Proportional to 297,884.40, 446,956.20 and 150,140.40

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Solution

The fourth proportional to 297,884.40, 446,956.20 and 150,140.40 is: 225,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,884.40 : 446,956.20 = 150,140.40 : x
  2. Step 2: Convert to fraction form
    297,884.40/446,956.20 = 150,140.40/x
  3. Step 3: Cross multiply
    297,884.40x = 446,956.20 × 150,140.40
  4. Step 4: Simplify right side
    297,884.40x = 67,106,182,650.48
  5. Step 5: Solve for x
    x = 67,106,182,650.48/297,884.40
  6. Step 6: Final answer
    x = 225,275.92

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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.