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Finding the Fourth Proportional to 474,840, 712,251.90 and 119,851.44

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Solution

The fourth proportional to 474,840, 712,251.90 and 119,851.44 is: 179,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,840 : 712,251.90 = 119,851.44 : x
  2. Step 2: Convert to fraction form
    474,840/712,251.90 = 119,851.44/x
  3. Step 3: Cross multiply
    474,840x = 712,251.90 × 119,851.44
  4. Step 4: Simplify right side
    474,840x = 85,364,415,857.74
  5. Step 5: Solve for x
    x = 85,364,415,857.74/474,840
  6. Step 6: Final answer
    x = 179,775.12

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Why These Related Problems?

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