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Finding the Fourth Proportional to 304,490.70, 456,736.05 and 146,735.10

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Solution

The fourth proportional to 304,490.70, 456,736.05 and 146,735.10 is: 220,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,490.70 : 456,736.05 = 146,735.10 : x
  2. Step 2: Convert to fraction form
    304,490.70/456,736.05 = 146,735.10/x
  3. Step 3: Cross multiply
    304,490.70x = 456,736.05 × 146,735.10
  4. Step 4: Simplify right side
    304,490.70x = 67,019,209,970.36
  5. Step 5: Solve for x
    x = 67,019,209,970.36/304,490.70
  6. Step 6: Final answer
    x = 220,102.65

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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.