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Finding the Fourth Proportional to 471,017.10, 706,527.71 and 151,217.56

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Solution

The fourth proportional to 471,017.10, 706,527.71 and 151,217.56 is: 226,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,017.10 : 706,527.71 = 151,217.56 : x
  2. Step 2: Convert to fraction form
    471,017.10/706,527.71 = 151,217.56/x
  3. Step 3: Cross multiply
    471,017.10x = 706,527.71 × 151,217.56
  4. Step 4: Simplify right side
    471,017.10x = 106,839,396,378.59
  5. Step 5: Solve for x
    x = 106,839,396,378.59/471,017.10
  6. Step 6: Final answer
    x = 226,827.00

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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.