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Finding the Fourth Proportional to 384,065.60, 576,098.40 and 314,081.60

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Solution

The fourth proportional to 384,065.60, 576,098.40 and 314,081.60 is: 471,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,065.60 : 576,098.40 = 314,081.60 : x
  2. Step 2: Convert to fraction form
    384,065.60/576,098.40 = 314,081.60/x
  3. Step 3: Cross multiply
    384,065.60x = 576,098.40 × 314,081.60
  4. Step 4: Simplify right side
    384,065.60x = 180,941,907,229.44
  5. Step 5: Solve for x
    x = 180,941,907,229.44/384,065.60
  6. Step 6: Final answer
    x = 471,122.40

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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.