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Finding the Fourth Proportional to 463,094.19, 639,104.31 and 259,165.53

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Solution

The fourth proportional to 463,094.19, 639,104.31 and 259,165.53 is: 357,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,094.19 : 639,104.31 = 259,165.53 : x
  2. Step 2: Convert to fraction form
    463,094.19/639,104.31 = 259,165.53/x
  3. Step 3: Cross multiply
    463,094.19x = 639,104.31 × 259,165.53
  4. Step 4: Simplify right side
    463,094.19x = 165,633,807,226.43
  5. Step 5: Solve for x
    x = 165,633,807,226.43/463,094.19
  6. Step 6: Final answer
    x = 357,667.64

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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.