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Finding the Fourth Proportional to 365,734, 548,597.22 and 277,529.32

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Solution

The fourth proportional to 365,734, 548,597.22 and 277,529.32 is: 416,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,734 : 548,597.22 = 277,529.32 : x
  2. Step 2: Convert to fraction form
    365,734/548,597.22 = 277,529.32/x
  3. Step 3: Cross multiply
    365,734x = 548,597.22 × 277,529.32
  4. Step 4: Simplify right side
    365,734x = 152,251,813,420.49
  5. Step 5: Solve for x
    x = 152,251,813,420.49/365,734
  6. Step 6: Final answer
    x = 416,291.11

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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.