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Finding the Fourth Proportional to 388,859.20, 583,288.80 and 342,203.20

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Solution

The fourth proportional to 388,859.20, 583,288.80 and 342,203.20 is: 513,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,859.20 : 583,288.80 = 342,203.20 : x
  2. Step 2: Convert to fraction form
    388,859.20/583,288.80 = 342,203.20/x
  3. Step 3: Cross multiply
    388,859.20x = 583,288.80 × 342,203.20
  4. Step 4: Simplify right side
    388,859.20x = 199,603,293,884.16
  5. Step 5: Solve for x
    x = 199,603,293,884.16/388,859.20
  6. Step 6: Final answer
    x = 513,304.80

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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.