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Finding the Fourth Proportional to 622,374.60, 931,229.10 and 412,422.60

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Solution

The fourth proportional to 622,374.60, 931,229.10 and 412,422.60 is: 617,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,374.60 : 931,229.10 = 412,422.60 : x
  2. Step 2: Convert to fraction form
    622,374.60/931,229.10 = 412,422.60/x
  3. Step 3: Cross multiply
    622,374.60x = 931,229.10 × 412,422.60
  4. Step 4: Simplify right side
    622,374.60x = 384,059,926,617.66
  5. Step 5: Solve for x
    x = 384,059,926,617.66/622,374.60
  6. Step 6: Final answer
    x = 617,088.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.