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Finding the Fourth Proportional to 537,321.30, 805,952.73 and 163,315.14

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Solution

The fourth proportional to 537,321.30, 805,952.73 and 163,315.14 is: 244,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,321.30 : 805,952.73 = 163,315.14 : x
  2. Step 2: Convert to fraction form
    537,321.30/805,952.73 = 163,315.14/x
  3. Step 3: Cross multiply
    537,321.30x = 805,952.73 × 163,315.14
  4. Step 4: Simplify right side
    537,321.30x = 131,624,282,933.33
  5. Step 5: Solve for x
    x = 131,624,282,933.33/537,321.30
  6. Step 6: Final answer
    x = 244,963.83

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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.