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Finding the Fourth Proportional to 471,722.40, 707,583.60 and 314,258.40

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Solution

The fourth proportional to 471,722.40, 707,583.60 and 314,258.40 is: 471,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,722.40 : 707,583.60 = 314,258.40 : x
  2. Step 2: Convert to fraction form
    471,722.40/707,583.60 = 314,258.40/x
  3. Step 3: Cross multiply
    471,722.40x = 707,583.60 × 314,258.40
  4. Step 4: Simplify right side
    471,722.40x = 222,364,090,002.24
  5. Step 5: Solve for x
    x = 222,364,090,002.24/471,722.40
  6. Step 6: Final answer
    x = 471,387.60

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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.