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Finding the Fourth Proportional to 537,653.85, 806,597.41 and 163,667.13

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Solution

The fourth proportional to 537,653.85, 806,597.41 and 163,667.13 is: 245,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,653.85 : 806,597.41 = 163,667.13 : x
  2. Step 2: Convert to fraction form
    537,653.85/806,597.41 = 163,667.13/x
  3. Step 3: Cross multiply
    537,653.85x = 806,597.41 × 163,667.13
  4. Step 4: Simplify right side
    537,653.85x = 132,013,483,160.13
  5. Step 5: Solve for x
    x = 132,013,483,160.13/537,653.85
  6. Step 6: Final answer
    x = 245,536.20

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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.