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Finding the Fourth Proportional to 402,719.14, 555,738.18 and 221,429.80

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Solution

The fourth proportional to 402,719.14, 555,738.18 and 221,429.80 is: 305,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,719.14 : 555,738.18 = 221,429.80 : x
  2. Step 2: Convert to fraction form
    402,719.14/555,738.18 = 221,429.80/x
  3. Step 3: Cross multiply
    402,719.14x = 555,738.18 × 221,429.80
  4. Step 4: Simplify right side
    402,719.14x = 123,056,994,049.76
  5. Step 5: Solve for x
    x = 123,056,994,049.76/402,719.14
  6. Step 6: Final answer
    x = 305,565.30

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