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Finding the Fourth Proportional to 295,282, 407,511.08 and 167,998.60

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Solution

The fourth proportional to 295,282, 407,511.08 and 167,998.60 is: 231,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,282 : 407,511.08 = 167,998.60 : x
  2. Step 2: Convert to fraction form
    295,282/407,511.08 = 167,998.60/x
  3. Step 3: Cross multiply
    295,282x = 407,511.08 × 167,998.60
  4. Step 4: Simplify right side
    295,282x = 68,461,290,924.49
  5. Step 5: Solve for x
    x = 68,461,290,924.49/295,282
  6. Step 6: Final answer
    x = 231,850.54

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1.5x scale

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.