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Finding the Fourth Proportional to 537,681.24, 805,959.18 and 200,586.24

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Solution

The fourth proportional to 537,681.24, 805,959.18 and 200,586.24 is: 300,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,681.24 : 805,959.18 = 200,586.24 : x
  2. Step 2: Convert to fraction form
    537,681.24/805,959.18 = 200,586.24/x
  3. Step 3: Cross multiply
    537,681.24x = 805,959.18 × 200,586.24
  4. Step 4: Simplify right side
    537,681.24x = 161,664,321,509.68
  5. Step 5: Solve for x
    x = 161,664,321,509.68/537,681.24
  6. Step 6: Final answer
    x = 300,669.45

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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.