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Finding the Fourth Proportional to 314,224.44, 471,410.44 and 103,862.34

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Solution

The fourth proportional to 314,224.44, 471,410.44 and 103,862.34 is: 155,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,224.44 : 471,410.44 = 103,862.34 : x
  2. Step 2: Convert to fraction form
    314,224.44/471,410.44 = 103,862.34/x
  3. Step 3: Cross multiply
    314,224.44x = 471,410.44 × 103,862.34
  4. Step 4: Simplify right side
    314,224.44x = 48,961,791,398.83
  5. Step 5: Solve for x
    x = 48,961,791,398.83/314,224.44
  6. Step 6: Final answer
    x = 155,817.90

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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.