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Finding the Fourth Proportional to 280,074.78, 386,536.41 and 159,234.30

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Solution

The fourth proportional to 280,074.78, 386,536.41 and 159,234.30 is: 219,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,074.78 : 386,536.41 = 159,234.30 : x
  2. Step 2: Convert to fraction form
    280,074.78/386,536.41 = 159,234.30/x
  3. Step 3: Cross multiply
    280,074.78x = 386,536.41 × 159,234.30
  4. Step 4: Simplify right side
    280,074.78x = 61,549,854,670.86
  5. Step 5: Solve for x
    x = 61,549,854,670.86/280,074.78
  6. Step 6: Final answer
    x = 219,762.22

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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.