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Finding the Fourth Proportional to 537,713.76, 806,570.64 and 163,736.76

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Solution

The fourth proportional to 537,713.76, 806,570.64 and 163,736.76 is: 245,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,713.76 : 806,570.64 = 163,736.76 : x
  2. Step 2: Convert to fraction form
    537,713.76/806,570.64 = 163,736.76/x
  3. Step 3: Cross multiply
    537,713.76x = 806,570.64 × 163,736.76
  4. Step 4: Simplify right side
    537,713.76x = 132,065,263,304.73
  5. Step 5: Solve for x
    x = 132,065,263,304.73/537,713.76
  6. Step 6: Final answer
    x = 245,605.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.