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Finding the Fourth Proportional to 514,770.31, 771,698.62 and 194,698.27

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Solution

The fourth proportional to 514,770.31, 771,698.62 and 194,698.27 is: 291,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,770.31 : 771,698.62 = 194,698.27 : x
  2. Step 2: Convert to fraction form
    514,770.31/771,698.62 = 194,698.27/x
  3. Step 3: Cross multiply
    514,770.31x = 771,698.62 × 194,698.27
  4. Step 4: Simplify right side
    514,770.31x = 150,248,386,275.39
  5. Step 5: Solve for x
    x = 150,248,386,275.39/514,770.31
  6. Step 6: Final answer
    x = 291,874.62

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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.