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Finding the Fourth Proportional to 493,007.40, 738,198.90 and 314,548.20

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Solution

The fourth proportional to 493,007.40, 738,198.90 and 314,548.20 is: 470,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,007.40 : 738,198.90 = 314,548.20 : x
  2. Step 2: Convert to fraction form
    493,007.40/738,198.90 = 314,548.20/x
  3. Step 3: Cross multiply
    493,007.40x = 738,198.90 × 314,548.20
  4. Step 4: Simplify right side
    493,007.40x = 232,199,135,236.98
  5. Step 5: Solve for x
    x = 232,199,135,236.98/493,007.40
  6. Step 6: Final answer
    x = 470,985.09

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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.