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Finding the Fourth Proportional to 419,734.80, 579,217.14 and 228,744.06

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Solution

The fourth proportional to 419,734.80, 579,217.14 and 228,744.06 is: 315,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,734.80 : 579,217.14 = 228,744.06 : x
  2. Step 2: Convert to fraction form
    419,734.80/579,217.14 = 228,744.06/x
  3. Step 3: Cross multiply
    419,734.80x = 579,217.14 × 228,744.06
  4. Step 4: Simplify right side
    419,734.80x = 132,492,480,225.19
  5. Step 5: Solve for x
    x = 132,492,480,225.19/419,734.80
  6. Step 6: Final answer
    x = 315,657.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.