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Finding the Fourth Proportional to 269,875.20, 404,467.20 and 207,235.20

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Solution

The fourth proportional to 269,875.20, 404,467.20 and 207,235.20 is: 310,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,875.20 : 404,467.20 = 207,235.20 : x
  2. Step 2: Convert to fraction form
    269,875.20/404,467.20 = 207,235.20/x
  3. Step 3: Cross multiply
    269,875.20x = 404,467.20 × 207,235.20
  4. Step 4: Simplify right side
    269,875.20x = 83,819,841,085.44
  5. Step 5: Solve for x
    x = 83,819,841,085.44/269,875.20
  6. Step 6: Final answer
    x = 310,587.42

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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.