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Finding the Fourth Proportional to 415,083, 622,624.86 and 148,860.12

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Solution

The fourth proportional to 415,083, 622,624.86 and 148,860.12 is: 223,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,083 : 622,624.86 = 148,860.12 : x
  2. Step 2: Convert to fraction form
    415,083/622,624.86 = 148,860.12/x
  3. Step 3: Cross multiply
    415,083x = 622,624.86 × 148,860.12
  4. Step 4: Simplify right side
    415,083x = 92,684,011,374.58
  5. Step 5: Solve for x
    x = 92,684,011,374.58/415,083
  6. Step 6: Final answer
    x = 223,290.31

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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.