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Finding the Fourth Proportional to 402,478.32, 603,738.15 and 102,961.50

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Solution

The fourth proportional to 402,478.32, 603,738.15 and 102,961.50 is: 154,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,478.32 : 603,738.15 = 102,961.50 : x
  2. Step 2: Convert to fraction form
    402,478.32/603,738.15 = 102,961.50/x
  3. Step 3: Cross multiply
    402,478.32x = 603,738.15 × 102,961.50
  4. Step 4: Simplify right side
    402,478.32x = 62,161,785,531.23
  5. Step 5: Solve for x
    x = 62,161,785,531.23/402,478.32
  6. Step 6: Final answer
    x = 154,447.54

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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.