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Finding the Fourth Proportional to 471,740.40, 707,610.60 and 314,276.40

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Solution

The fourth proportional to 471,740.40, 707,610.60 and 314,276.40 is: 471,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,740.40 : 707,610.60 = 314,276.40 : x
  2. Step 2: Convert to fraction form
    471,740.40/707,610.60 = 314,276.40/x
  3. Step 3: Cross multiply
    471,740.40x = 707,610.60 × 314,276.40
  4. Step 4: Simplify right side
    471,740.40x = 222,385,311,969.84
  5. Step 5: Solve for x
    x = 222,385,311,969.84/471,740.40
  6. Step 6: Final answer
    x = 471,414.60

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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.