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Finding the Fourth Proportional to 313,690.92, 432,844.74 and 186,363.24

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Solution

The fourth proportional to 313,690.92, 432,844.74 and 186,363.24 is: 257,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,690.92 : 432,844.74 = 186,363.24 : x
  2. Step 2: Convert to fraction form
    313,690.92/432,844.74 = 186,363.24/x
  3. Step 3: Cross multiply
    313,690.92x = 432,844.74 × 186,363.24
  4. Step 4: Simplify right side
    313,690.92x = 80,666,348,163.36
  5. Step 5: Solve for x
    x = 80,666,348,163.36/313,690.92
  6. Step 6: Final answer
    x = 257,152.32

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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.