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Finding the Fourth Proportional to 296,097.60, 444,211.20 and 146,409.60

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Solution

The fourth proportional to 296,097.60, 444,211.20 and 146,409.60 is: 219,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,097.60 : 444,211.20 = 146,409.60 : x
  2. Step 2: Convert to fraction form
    296,097.60/444,211.20 = 146,409.60/x
  3. Step 3: Cross multiply
    296,097.60x = 444,211.20 × 146,409.60
  4. Step 4: Simplify right side
    296,097.60x = 65,036,784,107.52
  5. Step 5: Solve for x
    x = 65,036,784,107.52/296,097.60
  6. Step 6: Final answer
    x = 219,646.44

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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.