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Finding the Fourth Proportional to 364,121.50, 502,281.87 and 227,919.01

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Solution

The fourth proportional to 364,121.50, 502,281.87 and 227,919.01 is: 314,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,121.50 : 502,281.87 = 227,919.01 : x
  2. Step 2: Convert to fraction form
    364,121.50/502,281.87 = 227,919.01/x
  3. Step 3: Cross multiply
    364,121.50x = 502,281.87 × 227,919.01
  4. Step 4: Simplify right side
    364,121.50x = 114,479,586,551.35
  5. Step 5: Solve for x
    x = 114,479,586,551.35/364,121.50
  6. Step 6: Final answer
    x = 314,399.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.