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Finding the Fourth Proportional to 397,309.20, 595,963.80 and 390,748.20

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Solution

The fourth proportional to 397,309.20, 595,963.80 and 390,748.20 is: 586,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,309.20 : 595,963.80 = 390,748.20 : x
  2. Step 2: Convert to fraction form
    397,309.20/595,963.80 = 390,748.20/x
  3. Step 3: Cross multiply
    397,309.20x = 595,963.80 × 390,748.20
  4. Step 4: Simplify right side
    397,309.20x = 232,871,782,115.16
  5. Step 5: Solve for x
    x = 232,871,782,115.16/397,309.20
  6. Step 6: Final answer
    x = 586,122.30

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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.