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Finding the Fourth Proportional to 402,690.84, 555,713.70 and 221,405.88

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Solution

The fourth proportional to 402,690.84, 555,713.70 and 221,405.88 is: 305,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,690.84 : 555,713.70 = 221,405.88 : x
  2. Step 2: Convert to fraction form
    402,690.84/555,713.70 = 221,405.88/x
  3. Step 3: Cross multiply
    402,690.84x = 555,713.70 × 221,405.88
  4. Step 4: Simplify right side
    402,690.84x = 123,038,280,776.56
  5. Step 5: Solve for x
    x = 123,038,280,776.56/402,690.84
  6. Step 6: Final answer
    x = 305,540.30

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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.