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Finding the Fourth Proportional to 414,387.60, 621,563.13 and 130,071.48

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Solution

The fourth proportional to 414,387.60, 621,563.13 and 130,071.48 is: 195,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,387.60 : 621,563.13 = 130,071.48 : x
  2. Step 2: Convert to fraction form
    414,387.60/621,563.13 = 130,071.48/x
  3. Step 3: Cross multiply
    414,387.60x = 621,563.13 × 130,071.48
  4. Step 4: Simplify right side
    414,387.60x = 80,847,636,232.53
  5. Step 5: Solve for x
    x = 80,847,636,232.53/414,387.60
  6. Step 6: Final answer
    x = 195,101.49

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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.