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Finding the Fourth Proportional to 312,297.17, 468,638.48 and 122,724.24

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Solution

The fourth proportional to 312,297.17, 468,638.48 and 122,724.24 is: 184,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,297.17 : 468,638.48 = 122,724.24 : x
  2. Step 2: Convert to fraction form
    312,297.17/468,638.48 = 122,724.24/x
  3. Step 3: Cross multiply
    312,297.17x = 468,638.48 × 122,724.24
  4. Step 4: Simplify right side
    312,297.17x = 57,513,300,679.13
  5. Step 5: Solve for x
    x = 57,513,300,679.13/312,297.17
  6. Step 6: Final answer
    x = 184,162.10

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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.