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Finding the Fourth Proportional to 304,674.40, 457,141.20 and 146,821.60

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Solution

The fourth proportional to 304,674.40, 457,141.20 and 146,821.60 is: 220,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,674.40 : 457,141.20 = 146,821.60 : x
  2. Step 2: Convert to fraction form
    304,674.40/457,141.20 = 146,821.60/x
  3. Step 3: Cross multiply
    304,674.40x = 457,141.20 × 146,821.60
  4. Step 4: Simplify right side
    304,674.40x = 67,118,202,409.92
  5. Step 5: Solve for x
    x = 67,118,202,409.92/304,674.40
  6. Step 6: Final answer
    x = 220,294.85

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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.