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Finding the Fourth Proportional to 384,000.20, 576,000.30 and 342,009.80

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Solution

The fourth proportional to 384,000.20, 576,000.30 and 342,009.80 is: 513,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,000.20 : 576,000.30 = 342,009.80 : x
  2. Step 2: Convert to fraction form
    384,000.20/576,000.30 = 342,009.80/x
  3. Step 3: Cross multiply
    384,000.20x = 576,000.30 × 342,009.80
  4. Step 4: Simplify right side
    384,000.20x = 196,997,747,402.94
  5. Step 5: Solve for x
    x = 196,997,747,402.94/384,000.20
  6. Step 6: Final answer
    x = 513,014.70

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1.5x scale

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.