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Finding the Fourth Proportional to 472,380.48, 651,876 and 257,522.40

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Solution

The fourth proportional to 472,380.48, 651,876 and 257,522.40 is: 355,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,380.48 : 651,876 = 257,522.40 : x
  2. Step 2: Convert to fraction form
    472,380.48/651,876 = 257,522.40/x
  3. Step 3: Cross multiply
    472,380.48x = 651,876 × 257,522.40
  4. Step 4: Simplify right side
    472,380.48x = 167,872,672,022.40
  5. Step 5: Solve for x
    x = 167,872,672,022.40/472,380.48
  6. Step 6: Final answer
    x = 355,375.97

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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.