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Finding the Fourth Proportional to 304,662.40, 457,123.20 and 146,809.60

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Solution

The fourth proportional to 304,662.40, 457,123.20 and 146,809.60 is: 220,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,662.40 : 457,123.20 = 146,809.60 : x
  2. Step 2: Convert to fraction form
    304,662.40/457,123.20 = 146,809.60/x
  3. Step 3: Cross multiply
    304,662.40x = 457,123.20 × 146,809.60
  4. Step 4: Simplify right side
    304,662.40x = 67,110,074,142.72
  5. Step 5: Solve for x
    x = 67,110,074,142.72/304,662.40
  6. Step 6: Final answer
    x = 220,276.85

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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.