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Finding the Fourth Proportional to 304,548.20, 456,822.30 and 146,792.60

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Solution

The fourth proportional to 304,548.20, 456,822.30 and 146,792.60 is: 220,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,548.20 : 456,822.30 = 146,792.60 : x
  2. Step 2: Convert to fraction form
    304,548.20/456,822.30 = 146,792.60/x
  3. Step 3: Cross multiply
    304,548.20x = 456,822.30 × 146,792.60
  4. Step 4: Simplify right side
    304,548.20x = 67,058,133,154.98
  5. Step 5: Solve for x
    x = 67,058,133,154.98/304,548.20
  6. Step 6: Final answer
    x = 220,188.90

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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.