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Finding the Fourth Proportional to 384,112.80, 576,169.20 and 103,658.40

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Solution

The fourth proportional to 384,112.80, 576,169.20 and 103,658.40 is: 155,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,112.80 : 576,169.20 = 103,658.40 : x
  2. Step 2: Convert to fraction form
    384,112.80/576,169.20 = 103,658.40/x
  3. Step 3: Cross multiply
    384,112.80x = 576,169.20 × 103,658.40
  4. Step 4: Simplify right side
    384,112.80x = 59,724,777,401.28
  5. Step 5: Solve for x
    x = 59,724,777,401.28/384,112.80
  6. Step 6: Final answer
    x = 155,487.60

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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.