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Finding the Fourth Proportional to 314,934.30, 472,401.45 and 188,963.10

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Solution

The fourth proportional to 314,934.30, 472,401.45 and 188,963.10 is: 283,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,934.30 : 472,401.45 = 188,963.10 : x
  2. Step 2: Convert to fraction form
    314,934.30/472,401.45 = 188,963.10/x
  3. Step 3: Cross multiply
    314,934.30x = 472,401.45 × 188,963.10
  4. Step 4: Simplify right side
    314,934.30x = 89,266,442,436.50
  5. Step 5: Solve for x
    x = 89,266,442,436.50/314,934.30
  6. Step 6: Final answer
    x = 283,444.65

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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.