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Finding the Fourth Proportional to 537,234.84, 805,753.26 and 217,302.84

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Solution

The fourth proportional to 537,234.84, 805,753.26 and 217,302.84 is: 325,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,234.84 : 805,753.26 = 217,302.84 : x
  2. Step 2: Convert to fraction form
    537,234.84/805,753.26 = 217,302.84/x
  3. Step 3: Cross multiply
    537,234.84x = 805,753.26 × 217,302.84
  4. Step 4: Simplify right side
    537,234.84x = 175,092,471,737.26
  5. Step 5: Solve for x
    x = 175,092,471,737.26/537,234.84
  6. Step 6: Final answer
    x = 325,914.22

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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.