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Finding the Fourth Proportional to 514,585.73, 771,659.89 and 210,770.44

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Solution

The fourth proportional to 514,585.73, 771,659.89 and 210,770.44 is: 316,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,585.73 : 771,659.89 = 210,770.44 : x
  2. Step 2: Convert to fraction form
    514,585.73/771,659.89 = 210,770.44/x
  3. Step 3: Cross multiply
    514,585.73x = 771,659.89 × 210,770.44
  4. Step 4: Simplify right side
    514,585.73x = 162,643,094,545.65
  5. Step 5: Solve for x
    x = 162,643,094,545.65/514,585.73
  6. Step 6: Final answer
    x = 316,066.08

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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.