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Finding the Fourth Proportional to 310,322.60, 465,714.30 and 123,468.20

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Solution

The fourth proportional to 310,322.60, 465,714.30 and 123,468.20 is: 185,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,322.60 : 465,714.30 = 123,468.20 : x
  2. Step 2: Convert to fraction form
    310,322.60/465,714.30 = 123,468.20/x
  3. Step 3: Cross multiply
    310,322.60x = 465,714.30 × 123,468.20
  4. Step 4: Simplify right side
    310,322.60x = 57,500,906,335.26
  5. Step 5: Solve for x
    x = 57,500,906,335.26/310,322.60
  6. Step 6: Final answer
    x = 185,293.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.