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Finding the Fourth Proportional to 537,827.40, 806,654.70 and 163,763.40

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Solution

The fourth proportional to 537,827.40, 806,654.70 and 163,763.40 is: 245,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,827.40 : 806,654.70 = 163,763.40 : x
  2. Step 2: Convert to fraction form
    537,827.40/806,654.70 = 163,763.40/x
  3. Step 3: Cross multiply
    537,827.40x = 806,654.70 × 163,763.40
  4. Step 4: Simplify right side
    537,827.40x = 132,100,516,297.98
  5. Step 5: Solve for x
    x = 132,100,516,297.98/537,827.40
  6. Step 6: Final answer
    x = 245,618.79

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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.