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Finding the Fourth Proportional to 414,056.88, 621,216.54 and 147,811.50

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Solution

The fourth proportional to 414,056.88, 621,216.54 and 147,811.50 is: 221,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,056.88 : 621,216.54 = 147,811.50 : x
  2. Step 2: Convert to fraction form
    414,056.88/621,216.54 = 147,811.50/x
  3. Step 3: Cross multiply
    414,056.88x = 621,216.54 × 147,811.50
  4. Step 4: Simplify right side
    414,056.88x = 91,822,948,602.21
  5. Step 5: Solve for x
    x = 91,822,948,602.21/414,056.88
  6. Step 6: Final answer
    x = 221,764.09

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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.