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Finding the Fourth Proportional to 402,701.14, 555,738.10 and 218,952.08

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Solution

The fourth proportional to 402,701.14, 555,738.10 and 218,952.08 is: 302,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,701.14 : 555,738.10 = 218,952.08 : x
  2. Step 2: Convert to fraction form
    402,701.14/555,738.10 = 218,952.08/x
  3. Step 3: Cross multiply
    402,701.14x = 555,738.10 × 218,952.08
  4. Step 4: Simplify right side
    402,701.14x = 121,680,012,930.25
  5. Step 5: Solve for x
    x = 121,680,012,930.25/402,701.14
  6. Step 6: Final answer
    x = 302,159.59

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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.