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Finding the Fourth Proportional to 400,323.56, 552,381.54 and 221,441

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Solution

The fourth proportional to 400,323.56, 552,381.54 and 221,441 is: 305,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,323.56 : 552,381.54 = 221,441 : x
  2. Step 2: Convert to fraction form
    400,323.56/552,381.54 = 221,441/x
  3. Step 3: Cross multiply
    400,323.56x = 552,381.54 × 221,441
  4. Step 4: Simplify right side
    400,323.56x = 122,319,920,599.14
  5. Step 5: Solve for x
    x = 122,319,920,599.14/400,323.56
  6. Step 6: Final answer
    x = 305,552.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.