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Finding the Fourth Proportional to 408,888.81, 563,053.28 and 293,965.20

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Solution

The fourth proportional to 408,888.81, 563,053.28 and 293,965.20 is: 404,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,888.81 : 563,053.28 = 293,965.20 : x
  2. Step 2: Convert to fraction form
    408,888.81/563,053.28 = 293,965.20/x
  3. Step 3: Cross multiply
    408,888.81x = 563,053.28 × 293,965.20
  4. Step 4: Simplify right side
    408,888.81x = 165,518,068,596.03
  5. Step 5: Solve for x
    x = 165,518,068,596.03/408,888.81
  6. Step 6: Final answer
    x = 404,799.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.