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Finding the Fourth Proportional to 537,622.92, 805,871.16 and 200,527.92

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Solution

The fourth proportional to 537,622.92, 805,871.16 and 200,527.92 is: 300,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,622.92 : 805,871.16 = 200,527.92 : x
  2. Step 2: Convert to fraction form
    537,622.92/805,871.16 = 200,527.92/x
  3. Step 3: Cross multiply
    537,622.92x = 805,871.16 × 200,527.92
  4. Step 4: Simplify right side
    537,622.92x = 161,599,667,502.79
  5. Step 5: Solve for x
    x = 161,599,667,502.79/537,622.92
  6. Step 6: Final answer
    x = 300,581.80

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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.