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Finding the Fourth Proportional to 314,384, 432,889.16 and 236,972.10

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Solution

The fourth proportional to 314,384, 432,889.16 and 236,972.10 is: 326,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,384 : 432,889.16 = 236,972.10 : x
  2. Step 2: Convert to fraction form
    314,384/432,889.16 = 236,972.10/x
  3. Step 3: Cross multiply
    314,384x = 432,889.16 × 236,972.10
  4. Step 4: Simplify right side
    314,384x = 102,582,653,312.44
  5. Step 5: Solve for x
    x = 102,582,653,312.44/314,384
  6. Step 6: Final answer
    x = 326,297.31

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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.