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Finding the Fourth Proportional to 384,097.92, 576,064.80 and 147,357.60

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Solution

The fourth proportional to 384,097.92, 576,064.80 and 147,357.60 is: 221,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,097.92 : 576,064.80 = 147,357.60 : x
  2. Step 2: Convert to fraction form
    384,097.92/576,064.80 = 147,357.60/x
  3. Step 3: Cross multiply
    384,097.92x = 576,064.80 × 147,357.60
  4. Step 4: Simplify right side
    384,097.92x = 84,887,526,372.48
  5. Step 5: Solve for x
    x = 84,887,526,372.48/384,097.92
  6. Step 6: Final answer
    x = 221,004.91

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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.