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Finding the Fourth Proportional to 537,294.88, 805,937.46 and 200,324.08

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Solution

The fourth proportional to 537,294.88, 805,937.46 and 200,324.08 is: 300,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,294.88 : 805,937.46 = 200,324.08 : x
  2. Step 2: Convert to fraction form
    537,294.88/805,937.46 = 200,324.08/x
  3. Step 3: Cross multiply
    537,294.88x = 805,937.46 × 200,324.08
  4. Step 4: Simplify right side
    537,294.88x = 161,448,680,212.04
  5. Step 5: Solve for x
    x = 161,448,680,212.04/537,294.88
  6. Step 6: Final answer
    x = 300,484.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.