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Finding the Fourth Proportional to 304,043.60, 456,065.40 and 146,190.80

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Solution

The fourth proportional to 304,043.60, 456,065.40 and 146,190.80 is: 219,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,043.60 : 456,065.40 = 146,190.80 : x
  2. Step 2: Convert to fraction form
    304,043.60/456,065.40 = 146,190.80/x
  3. Step 3: Cross multiply
    304,043.60x = 456,065.40 × 146,190.80
  4. Step 4: Simplify right side
    304,043.60x = 66,672,565,678.32
  5. Step 5: Solve for x
    x = 66,672,565,678.32/304,043.60
  6. Step 6: Final answer
    x = 219,286.20

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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.