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Finding the Fourth Proportional to 295,356.08, 407,567.01 and 166,306.34

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Solution

The fourth proportional to 295,356.08, 407,567.01 and 166,306.34 is: 229,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,356.08 : 407,567.01 = 166,306.34 : x
  2. Step 2: Convert to fraction form
    295,356.08/407,567.01 = 166,306.34/x
  3. Step 3: Cross multiply
    295,356.08x = 407,567.01 × 166,306.34
  4. Step 4: Simplify right side
    295,356.08x = 67,780,977,737.84
  5. Step 5: Solve for x
    x = 67,780,977,737.84/295,356.08
  6. Step 6: Final answer
    x = 229,489.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.