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Finding the Fourth Proportional to 537,813.92, 806,727.36 and 163,840.16

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Solution

The fourth proportional to 537,813.92, 806,727.36 and 163,840.16 is: 245,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,813.92 : 806,727.36 = 163,840.16 : x
  2. Step 2: Convert to fraction form
    537,813.92/806,727.36 = 163,840.16/x
  3. Step 3: Cross multiply
    537,813.92x = 806,727.36 × 163,840.16
  4. Step 4: Simplify right side
    537,813.92x = 132,174,339,738.78
  5. Step 5: Solve for x
    x = 132,174,339,738.78/537,813.92
  6. Step 6: Final answer
    x = 245,762.21

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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.