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Finding the Fourth Proportional to 277,724.30, 416,587.05 and 100,356.57

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Solution

The fourth proportional to 277,724.30, 416,587.05 and 100,356.57 is: 150,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,724.30 : 416,587.05 = 100,356.57 : x
  2. Step 2: Convert to fraction form
    277,724.30/416,587.05 = 100,356.57/x
  3. Step 3: Cross multiply
    277,724.30x = 416,587.05 × 100,356.57
  4. Step 4: Simplify right side
    277,724.30x = 41,807,247,444.42
  5. Step 5: Solve for x
    x = 41,807,247,444.42/277,724.30
  6. Step 6: Final answer
    x = 150,535.07

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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.