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Finding the Fourth Proportional to 289,589.90, 434,384.85 and 156,729.65

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Solution

The fourth proportional to 289,589.90, 434,384.85 and 156,729.65 is: 235,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,589.90 : 434,384.85 = 156,729.65 : x
  2. Step 2: Convert to fraction form
    289,589.90/434,384.85 = 156,729.65/x
  3. Step 3: Cross multiply
    289,589.90x = 434,384.85 × 156,729.65
  4. Step 4: Simplify right side
    289,589.90x = 68,080,985,505.80
  5. Step 5: Solve for x
    x = 68,080,985,505.80/289,589.90
  6. Step 6: Final answer
    x = 235,094.48

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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.