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Finding the Fourth Proportional to 313,253.12, 431,962.57 and 185,904.11

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Solution

The fourth proportional to 313,253.12, 431,962.57 and 185,904.11 is: 256,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,253.12 : 431,962.57 = 185,904.11 : x
  2. Step 2: Convert to fraction form
    313,253.12/431,962.57 = 185,904.11/x
  3. Step 3: Cross multiply
    313,253.12x = 431,962.57 × 185,904.11
  4. Step 4: Simplify right side
    313,253.12x = 80,303,618,441.45
  5. Step 5: Solve for x
    x = 80,303,618,441.45/313,253.12
  6. Step 6: Final answer
    x = 256,353.77

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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.