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Finding the Fourth Proportional to 384,087.20, 576,130.80 and 384,087.20

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Solution

The fourth proportional to 384,087.20, 576,130.80 and 384,087.20 is: 576,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,087.20 : 576,130.80 = 384,087.20 : x
  2. Step 2: Convert to fraction form
    384,087.20/576,130.80 = 384,087.20/x
  3. Step 3: Cross multiply
    384,087.20x = 576,130.80 × 384,087.20
  4. Step 4: Simplify right side
    384,087.20x = 221,284,465,805.76
  5. Step 5: Solve for x
    x = 221,284,465,805.76/384,087.20
  6. Step 6: Final answer
    x = 576,130.80

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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.