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Finding the Fourth Proportional to 314,808.69, 471,847.17 and 179,967.25

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Solution

The fourth proportional to 314,808.69, 471,847.17 and 179,967.25 is: 269,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,808.69 : 471,847.17 = 179,967.25 : x
  2. Step 2: Convert to fraction form
    314,808.69/471,847.17 = 179,967.25/x
  3. Step 3: Cross multiply
    314,808.69x = 471,847.17 × 179,967.25
  4. Step 4: Simplify right side
    314,808.69x = 84,917,038,869.87
  5. Step 5: Solve for x
    x = 84,917,038,869.87/314,808.69
  6. Step 6: Final answer
    x = 269,741.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.