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Finding the Fourth Proportional to 341,950, 512,648.16 and 142,419.74

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Solution

The fourth proportional to 341,950, 512,648.16 and 142,419.74 is: 213,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,950 : 512,648.16 = 142,419.74 : x
  2. Step 2: Convert to fraction form
    341,950/512,648.16 = 142,419.74/x
  3. Step 3: Cross multiply
    341,950x = 512,648.16 × 142,419.74
  4. Step 4: Simplify right side
    341,950x = 73,011,214,383.34
  5. Step 5: Solve for x
    x = 73,011,214,383.34/341,950
  6. Step 6: Final answer
    x = 213,514.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.