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Finding the Fourth Proportional to 304,469.40, 456,704.10 and 147,005.40

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Solution

The fourth proportional to 304,469.40, 456,704.10 and 147,005.40 is: 220,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,469.40 : 456,704.10 = 147,005.40 : x
  2. Step 2: Convert to fraction form
    304,469.40/456,704.10 = 147,005.40/x
  3. Step 3: Cross multiply
    304,469.40x = 456,704.10 × 147,005.40
  4. Step 4: Simplify right side
    304,469.40x = 67,137,968,902.14
  5. Step 5: Solve for x
    x = 67,137,968,902.14/304,469.40
  6. Step 6: Final answer
    x = 220,508.10

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1.5x scale

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.