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Finding the Fourth Proportional to 314,974.30, 472,461.45 and 278,232.70

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Solution

The fourth proportional to 314,974.30, 472,461.45 and 278,232.70 is: 417,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,974.30 : 472,461.45 = 278,232.70 : x
  2. Step 2: Convert to fraction form
    314,974.30/472,461.45 = 278,232.70/x
  3. Step 3: Cross multiply
    314,974.30x = 472,461.45 × 278,232.70
  4. Step 4: Simplify right side
    314,974.30x = 131,454,224,879.42
  5. Step 5: Solve for x
    x = 131,454,224,879.42/314,974.30
  6. Step 6: Final answer
    x = 417,349.05

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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.