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Finding the Fourth Proportional to 280,438.96, 387,039.72 and 159,609.64

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Solution

The fourth proportional to 280,438.96, 387,039.72 and 159,609.64 is: 220,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,438.96 : 387,039.72 = 159,609.64 : x
  2. Step 2: Convert to fraction form
    280,438.96/387,039.72 = 159,609.64/x
  3. Step 3: Cross multiply
    280,438.96x = 387,039.72 × 159,609.64
  4. Step 4: Simplify right side
    280,438.96x = 61,775,270,374.90
  5. Step 5: Solve for x
    x = 61,775,270,374.90/280,438.96
  6. Step 6: Final answer
    x = 220,280.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.