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Finding the Fourth Proportional to 471,708.40, 707,562.60 and 314,244.40

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Solution

The fourth proportional to 471,708.40, 707,562.60 and 314,244.40 is: 471,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,708.40 : 707,562.60 = 314,244.40 : x
  2. Step 2: Convert to fraction form
    471,708.40/707,562.60 = 314,244.40/x
  3. Step 3: Cross multiply
    471,708.40x = 707,562.60 × 314,244.40
  4. Step 4: Simplify right side
    471,708.40x = 222,347,584,699.44
  5. Step 5: Solve for x
    x = 222,347,584,699.44/471,708.40
  6. Step 6: Final answer
    x = 471,366.60

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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.