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Finding the Fourth Proportional to 414,513.40, 621,770.10 and 314,980.60

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Solution

The fourth proportional to 414,513.40, 621,770.10 and 314,980.60 is: 472,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,513.40 : 621,770.10 = 314,980.60 : x
  2. Step 2: Convert to fraction form
    414,513.40/621,770.10 = 314,980.60/x
  3. Step 3: Cross multiply
    414,513.40x = 621,770.10 × 314,980.60
  4. Step 4: Simplify right side
    414,513.40x = 195,845,519,160.06
  5. Step 5: Solve for x
    x = 195,845,519,160.06/414,513.40
  6. Step 6: Final answer
    x = 472,470.90

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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.