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Finding the Fourth Proportional to 304,048.87, 456,147.63 and 214,266.71

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Solution

The fourth proportional to 304,048.87, 456,147.63 and 214,266.71 is: 321,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,048.87 : 456,147.63 = 214,266.71 : x
  2. Step 2: Convert to fraction form
    304,048.87/456,147.63 = 214,266.71/x
  3. Step 3: Cross multiply
    304,048.87x = 456,147.63 × 214,266.71
  4. Step 4: Simplify right side
    304,048.87x = 97,737,251,954.40
  5. Step 5: Solve for x
    x = 97,737,251,954.40/304,048.87
  6. Step 6: Final answer
    x = 321,452.44

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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.