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Finding the Fourth Proportional to 537,095.88, 805,516.44 and 200,294.64

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Solution

The fourth proportional to 537,095.88, 805,516.44 and 200,294.64 is: 300,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,095.88 : 805,516.44 = 200,294.64 : x
  2. Step 2: Convert to fraction form
    537,095.88/805,516.44 = 200,294.64/x
  3. Step 3: Cross multiply
    537,095.88x = 805,516.44 × 200,294.64
  4. Step 4: Simplify right side
    537,095.88x = 161,340,625,363.88
  5. Step 5: Solve for x
    x = 161,340,625,363.88/537,095.88
  6. Step 6: Final answer
    x = 300,394.46

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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.