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Finding the Fourth Proportional to 288,002.70, 431,874.45 and 110,450.70

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Solution

The fourth proportional to 288,002.70, 431,874.45 and 110,450.70 is: 165,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.70 : 431,874.45 = 110,450.70 : x
  2. Step 2: Convert to fraction form
    288,002.70/431,874.45 = 110,450.70/x
  3. Step 3: Cross multiply
    288,002.70x = 431,874.45 × 110,450.70
  4. Step 4: Simplify right side
    288,002.70x = 47,700,835,314.62
  5. Step 5: Solve for x
    x = 47,700,835,314.62/288,002.70
  6. Step 6: Final answer
    x = 165,626.35

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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.