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Finding the Fourth Proportional to 472,396.80, 709,414.40 and 333,132.80

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Solution

The fourth proportional to 472,396.80, 709,414.40 and 333,132.80 is: 500,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,396.80 : 709,414.40 = 333,132.80 : x
  2. Step 2: Convert to fraction form
    472,396.80/709,414.40 = 333,132.80/x
  3. Step 3: Cross multiply
    472,396.80x = 709,414.40 × 333,132.80
  4. Step 4: Simplify right side
    472,396.80x = 236,329,205,432.32
  5. Step 5: Solve for x
    x = 236,329,205,432.32/472,396.80
  6. Step 6: Final answer
    x = 500,276.90

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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.