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Finding the Fourth Proportional to 652,978.10, 979,127.31 and 232,192.82

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Solution

The fourth proportional to 652,978.10, 979,127.31 and 232,192.82 is: 348,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,978.10 : 979,127.31 = 232,192.82 : x
  2. Step 2: Convert to fraction form
    652,978.10/979,127.31 = 232,192.82/x
  3. Step 3: Cross multiply
    652,978.10x = 979,127.31 × 232,192.82
  4. Step 4: Simplify right side
    652,978.10x = 227,346,331,247.91
  5. Step 5: Solve for x
    x = 227,346,331,247.91/652,978.10
  6. Step 6: Final answer
    x = 348,168.39

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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.