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Finding the Fourth Proportional to 514,282.16, 771,473.96 and 177,278.44

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Solution

The fourth proportional to 514,282.16, 771,473.96 and 177,278.44 is: 265,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,282.16 : 771,473.96 = 177,278.44 : x
  2. Step 2: Convert to fraction form
    514,282.16/771,473.96 = 177,278.44/x
  3. Step 3: Cross multiply
    514,282.16x = 771,473.96 × 177,278.44
  4. Step 4: Simplify right side
    514,282.16x = 136,765,699,425.65
  5. Step 5: Solve for x
    x = 136,765,699,425.65/514,282.16
  6. Step 6: Final answer
    x = 265,935.14

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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.