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Finding the Fourth Proportional to 389,720.80, 583,414.80 and 347,730.40

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Solution

The fourth proportional to 389,720.80, 583,414.80 and 347,730.40 is: 520,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,720.80 : 583,414.80 = 347,730.40 : x
  2. Step 2: Convert to fraction form
    389,720.80/583,414.80 = 347,730.40/x
  3. Step 3: Cross multiply
    389,720.80x = 583,414.80 × 347,730.40
  4. Step 4: Simplify right side
    389,720.80x = 202,871,061,769.92
  5. Step 5: Solve for x
    x = 202,871,061,769.92/389,720.80
  6. Step 6: Final answer
    x = 520,554.87

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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.