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Finding the Fourth Proportional to 296,790.22, 409,590.54 and 167,683.90

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Solution

The fourth proportional to 296,790.22, 409,590.54 and 167,683.90 is: 231,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,790.22 : 409,590.54 = 167,683.90 : x
  2. Step 2: Convert to fraction form
    296,790.22/409,590.54 = 167,683.90/x
  3. Step 3: Cross multiply
    296,790.22x = 409,590.54 × 167,683.90
  4. Step 4: Simplify right side
    296,790.22x = 68,681,739,150.31
  5. Step 5: Solve for x
    x = 68,681,739,150.31/296,790.22
  6. Step 6: Final answer
    x = 231,415.10

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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.