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Finding the Fourth Proportional to 314,114.40, 471,171.66 and 219,529.33

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Solution

The fourth proportional to 314,114.40, 471,171.66 and 219,529.33 is: 329,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,114.40 : 471,171.66 = 219,529.33 : x
  2. Step 2: Convert to fraction form
    314,114.40/471,171.66 = 219,529.33/x
  3. Step 3: Cross multiply
    314,114.40x = 471,171.66 × 219,529.33
  4. Step 4: Simplify right side
    314,114.40x = 103,435,998,834.79
  5. Step 5: Solve for x
    x = 103,435,998,834.79/314,114.40
  6. Step 6: Final answer
    x = 329,294.04

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1.5x scale

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.