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Finding the Fourth Proportional to 472,870.80, 709,306.20 and 434,163.60

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Solution

The fourth proportional to 472,870.80, 709,306.20 and 434,163.60 is: 651,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,870.80 : 709,306.20 = 434,163.60 : x
  2. Step 2: Convert to fraction form
    472,870.80/709,306.20 = 434,163.60/x
  3. Step 3: Cross multiply
    472,870.80x = 709,306.20 × 434,163.60
  4. Step 4: Simplify right side
    472,870.80x = 307,954,933,294.32
  5. Step 5: Solve for x
    x = 307,954,933,294.32/472,870.80
  6. Step 6: Final answer
    x = 651,245.40

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