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Finding the Fourth Proportional to 531,842.80, 797,812.80 and 216,234.40

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Solution

The fourth proportional to 531,842.80, 797,812.80 and 216,234.40 is: 324,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,842.80 : 797,812.80 = 216,234.40 : x
  2. Step 2: Convert to fraction form
    531,842.80/797,812.80 = 216,234.40/x
  3. Step 3: Cross multiply
    531,842.80x = 797,812.80 × 216,234.40
  4. Step 4: Simplify right side
    531,842.80x = 172,514,572,120.32
  5. Step 5: Solve for x
    x = 172,514,572,120.32/531,842.80
  6. Step 6: Final answer
    x = 324,371.36

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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.