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Finding the Fourth Proportional to 433,565.20, 650,315.40 and 180,780.40

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Solution

The fourth proportional to 433,565.20, 650,315.40 and 180,780.40 is: 271,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,565.20 : 650,315.40 = 180,780.40 : x
  2. Step 2: Convert to fraction form
    433,565.20/650,315.40 = 180,780.40/x
  3. Step 3: Cross multiply
    433,565.20x = 650,315.40 × 180,780.40
  4. Step 4: Simplify right side
    433,565.20x = 117,564,278,138.16
  5. Step 5: Solve for x
    x = 117,564,278,138.16/433,565.20
  6. Step 6: Final answer
    x = 271,157.09

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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.