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Finding the Fourth Proportional to 312,552.48, 469,080.16 and 162,837.52

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Solution

The fourth proportional to 312,552.48, 469,080.16 and 162,837.52 is: 244,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,552.48 : 469,080.16 = 162,837.52 : x
  2. Step 2: Convert to fraction form
    312,552.48/469,080.16 = 162,837.52/x
  3. Step 3: Cross multiply
    312,552.48x = 469,080.16 × 162,837.52
  4. Step 4: Simplify right side
    312,552.48x = 76,383,849,935.60
  5. Step 5: Solve for x
    x = 76,383,849,935.60/312,552.48
  6. Step 6: Final answer
    x = 244,387.28

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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.