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Finding the Fourth Proportional to 304,493.20, 456,739.80 and 146,737.60

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Solution

The fourth proportional to 304,493.20, 456,739.80 and 146,737.60 is: 220,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,493.20 : 456,739.80 = 146,737.60 : x
  2. Step 2: Convert to fraction form
    304,493.20/456,739.80 = 146,737.60/x
  3. Step 3: Cross multiply
    304,493.20x = 456,739.80 × 146,737.60
  4. Step 4: Simplify right side
    304,493.20x = 67,020,902,076.48
  5. Step 5: Solve for x
    x = 67,020,902,076.48/304,493.20
  6. Step 6: Final answer
    x = 220,106.40

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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.