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Finding the Fourth Proportional to 384,081.60, 576,122.40 and 215,428.80

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Solution

The fourth proportional to 384,081.60, 576,122.40 and 215,428.80 is: 323,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,081.60 : 576,122.40 = 215,428.80 : x
  2. Step 2: Convert to fraction form
    384,081.60/576,122.40 = 215,428.80/x
  3. Step 3: Cross multiply
    384,081.60x = 576,122.40 × 215,428.80
  4. Step 4: Simplify right side
    384,081.60x = 124,113,357,285.12
  5. Step 5: Solve for x
    x = 124,113,357,285.12/384,081.60
  6. Step 6: Final answer
    x = 323,143.20

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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.