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Finding the Fourth Proportional to 384,429.60, 576,644.40 and 278,141.40

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Solution

The fourth proportional to 384,429.60, 576,644.40 and 278,141.40 is: 417,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,429.60 : 576,644.40 = 278,141.40 : x
  2. Step 2: Convert to fraction form
    384,429.60/576,644.40 = 278,141.40/x
  3. Step 3: Cross multiply
    384,429.60x = 576,644.40 × 278,141.40
  4. Step 4: Simplify right side
    384,429.60x = 160,388,680,718.16
  5. Step 5: Solve for x
    x = 160,388,680,718.16/384,429.60
  6. Step 6: Final answer
    x = 417,212.10

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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.