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Finding the Fourth Proportional to 295,642.92, 407,972.58 and 168,306.60

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Solution

The fourth proportional to 295,642.92, 407,972.58 and 168,306.60 is: 232,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,642.92 : 407,972.58 = 168,306.60 : x
  2. Step 2: Convert to fraction form
    295,642.92/407,972.58 = 168,306.60/x
  3. Step 3: Cross multiply
    295,642.92x = 407,972.58 × 168,306.60
  4. Step 4: Simplify right side
    295,642.92x = 68,664,477,833.03
  5. Step 5: Solve for x
    x = 68,664,477,833.03/295,642.92
  6. Step 6: Final answer
    x = 232,254.77

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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.