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Finding the Fourth Proportional to 280,376.29, 420,460.54 and 100,433.67

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Solution

The fourth proportional to 280,376.29, 420,460.54 and 100,433.67 is: 150,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,376.29 : 420,460.54 = 100,433.67 : x
  2. Step 2: Convert to fraction form
    280,376.29/420,460.54 = 100,433.67/x
  3. Step 3: Cross multiply
    280,376.29x = 420,460.54 × 100,433.67
  4. Step 4: Simplify right side
    280,376.29x = 42,228,395,122.38
  5. Step 5: Solve for x
    x = 42,228,395,122.38/280,376.29
  6. Step 6: Final answer
    x = 150,613.29

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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.