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Finding the Fourth Proportional to 471,695.40, 707,543.10 and 314,231.40

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Solution

The fourth proportional to 471,695.40, 707,543.10 and 314,231.40 is: 471,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,695.40 : 707,543.10 = 314,231.40 : x
  2. Step 2: Convert to fraction form
    471,695.40/707,543.10 = 314,231.40/x
  3. Step 3: Cross multiply
    471,695.40x = 707,543.10 × 314,231.40
  4. Step 4: Simplify right side
    471,695.40x = 222,332,258,873.34
  5. Step 5: Solve for x
    x = 222,332,258,873.34/471,695.40
  6. Step 6: Final answer
    x = 471,347.10

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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.