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Finding the Fourth Proportional to 448,713.96, 620,031.65 and 341,097.15

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Solution

The fourth proportional to 448,713.96, 620,031.65 and 341,097.15 is: 471,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,713.96 : 620,031.65 = 341,097.15 : x
  2. Step 2: Convert to fraction form
    448,713.96/620,031.65 = 341,097.15/x
  3. Step 3: Cross multiply
    448,713.96x = 620,031.65 × 341,097.15
  4. Step 4: Simplify right side
    448,713.96x = 211,491,027,019.31
  5. Step 5: Solve for x
    x = 211,491,027,019.31/448,713.96
  6. Step 6: Final answer
    x = 471,327.06

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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.