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Finding the Fourth Proportional to 402,152.60, 603,447.60 and 165,519.20

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Solution

The fourth proportional to 402,152.60, 603,447.60 and 165,519.20 is: 248,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,152.60 : 603,447.60 = 165,519.20 : x
  2. Step 2: Convert to fraction form
    402,152.60/603,447.60 = 165,519.20/x
  3. Step 3: Cross multiply
    402,152.60x = 603,447.60 × 165,519.20
  4. Step 4: Simplify right side
    402,152.60x = 99,882,163,993.92
  5. Step 5: Solve for x
    x = 99,882,163,993.92/402,152.60
  6. Step 6: Final answer
    x = 248,368.81

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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.