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Finding the Fourth Proportional to 289,000.60, 433,500.90 and 229,514.20

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Solution

The fourth proportional to 289,000.60, 433,500.90 and 229,514.20 is: 344,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,000.60 : 433,500.90 = 229,514.20 : x
  2. Step 2: Convert to fraction form
    289,000.60/433,500.90 = 229,514.20/x
  3. Step 3: Cross multiply
    289,000.60x = 433,500.90 × 229,514.20
  4. Step 4: Simplify right side
    289,000.60x = 99,494,612,262.78
  5. Step 5: Solve for x
    x = 99,494,612,262.78/289,000.60
  6. Step 6: Final answer
    x = 344,271.30

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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.