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Finding the Fourth Proportional to 313,002.32, 469,405.24 and 102,593.36

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Solution

The fourth proportional to 313,002.32, 469,405.24 and 102,593.36 is: 153,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,002.32 : 469,405.24 = 102,593.36 : x
  2. Step 2: Convert to fraction form
    313,002.32/469,405.24 = 102,593.36/x
  3. Step 3: Cross multiply
    313,002.32x = 469,405.24 × 102,593.36
  4. Step 4: Simplify right side
    313,002.32x = 48,157,860,773.21
  5. Step 5: Solve for x
    x = 48,157,860,773.21/313,002.32
  6. Step 6: Final answer
    x = 153,857.84

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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.