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Finding the Fourth Proportional to 314,450.64, 433,874.34 and 187,101.36

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Solution

The fourth proportional to 314,450.64, 433,874.34 and 187,101.36 is: 258,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,450.64 : 433,874.34 = 187,101.36 : x
  2. Step 2: Convert to fraction form
    314,450.64/433,874.34 = 187,101.36/x
  3. Step 3: Cross multiply
    314,450.64x = 433,874.34 × 187,101.36
  4. Step 4: Simplify right side
    314,450.64x = 81,178,479,083.10
  5. Step 5: Solve for x
    x = 81,178,479,083.10/314,450.64
  6. Step 6: Final answer
    x = 258,159.69

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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.