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Finding the Fourth Proportional to 537,694.24, 805,978.62 and 200,599.24

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Solution

The fourth proportional to 537,694.24, 805,978.62 and 200,599.24 is: 300,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,694.24 : 805,978.62 = 200,599.24 : x
  2. Step 2: Convert to fraction form
    537,694.24/805,978.62 = 200,599.24/x
  3. Step 3: Cross multiply
    537,694.24x = 805,978.62 × 200,599.24
  4. Step 4: Simplify right side
    537,694.24x = 161,678,698,628.25
  5. Step 5: Solve for x
    x = 161,678,698,628.25/537,694.24
  6. Step 6: Final answer
    x = 300,688.92

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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.