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Finding the Fourth Proportional to 291,083.34, 401,695.03 and 162,019.04

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Solution

The fourth proportional to 291,083.34, 401,695.03 and 162,019.04 is: 223,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,083.34 : 401,695.03 = 162,019.04 : x
  2. Step 2: Convert to fraction form
    291,083.34/401,695.03 = 162,019.04/x
  3. Step 3: Cross multiply
    291,083.34x = 401,695.03 × 162,019.04
  4. Step 4: Simplify right side
    291,083.34x = 65,082,241,327.42
  5. Step 5: Solve for x
    x = 65,082,241,327.42/291,083.34
  6. Step 6: Final answer
    x = 223,586.28

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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.