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Finding the Fourth Proportional to 314,948.84, 472,284.76 and 115,217.44

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Solution

The fourth proportional to 314,948.84, 472,284.76 and 115,217.44 is: 172,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,948.84 : 472,284.76 = 115,217.44 : x
  2. Step 2: Convert to fraction form
    314,948.84/472,284.76 = 115,217.44/x
  3. Step 3: Cross multiply
    314,948.84x = 472,284.76 × 115,217.44
  4. Step 4: Simplify right side
    314,948.84x = 54,415,440,998.21
  5. Step 5: Solve for x
    x = 54,415,440,998.21/314,948.84
  6. Step 6: Final answer
    x = 172,775.49

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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.