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Finding the Fourth Proportional to 537,089.16, 805,633.80 and 255,753.48

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Solution

The fourth proportional to 537,089.16, 805,633.80 and 255,753.48 is: 383,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,089.16 : 805,633.80 = 255,753.48 : x
  2. Step 2: Convert to fraction form
    537,089.16/805,633.80 = 255,753.48/x
  3. Step 3: Cross multiply
    537,089.16x = 805,633.80 × 255,753.48
  4. Step 4: Simplify right side
    537,089.16x = 206,043,647,955.62
  5. Step 5: Solve for x
    x = 206,043,647,955.62/537,089.16
  6. Step 6: Final answer
    x = 383,630.25

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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.