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Finding the Fourth Proportional to 463,109.44, 639,125.36 and 259,180.78

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Solution

The fourth proportional to 463,109.44, 639,125.36 and 259,180.78 is: 357,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,109.44 : 639,125.36 = 259,180.78 : x
  2. Step 2: Convert to fraction form
    463,109.44/639,125.36 = 259,180.78/x
  3. Step 3: Cross multiply
    463,109.44x = 639,125.36 × 259,180.78
  4. Step 4: Simplify right side
    463,109.44x = 165,649,009,322.58
  5. Step 5: Solve for x
    x = 165,649,009,322.58/463,109.44
  6. Step 6: Final answer
    x = 357,688.69

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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.