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Finding the Fourth Proportional to 514,959.56, 772,439.82 and 292,877

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Solution

The fourth proportional to 514,959.56, 772,439.82 and 292,877 is: 439,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,959.56 : 772,439.82 = 292,877 : x
  2. Step 2: Convert to fraction form
    514,959.56/772,439.82 = 292,877/x
  3. Step 3: Cross multiply
    514,959.56x = 772,439.82 × 292,877
  4. Step 4: Simplify right side
    514,959.56x = 226,229,857,162.14
  5. Step 5: Solve for x
    x = 226,229,857,162.14/514,959.56
  6. Step 6: Final answer
    x = 439,315.77

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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.