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Finding the Fourth Proportional to 402,719.38, 555,738.52 and 221,430.04

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Solution

The fourth proportional to 402,719.38, 555,738.52 and 221,430.04 is: 305,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,719.38 : 555,738.52 = 221,430.04 : x
  2. Step 2: Convert to fraction form
    402,719.38/555,738.52 = 221,430.04/x
  3. Step 3: Cross multiply
    402,719.38x = 555,738.52 × 221,430.04
  4. Step 4: Simplify right side
    402,719.38x = 123,057,202,713.14
  5. Step 5: Solve for x
    x = 123,057,202,713.14/402,719.38
  6. Step 6: Final answer
    x = 305,565.63

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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.