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Finding the Fourth Proportional to 301,304.60, 451,983.17 and 98,840

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Solution

The fourth proportional to 301,304.60, 451,983.17 and 98,840 is: 148,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,304.60 : 451,983.17 = 98,840 : x
  2. Step 2: Convert to fraction form
    301,304.60/451,983.17 = 98,840/x
  3. Step 3: Cross multiply
    301,304.60x = 451,983.17 × 98,840
  4. Step 4: Simplify right side
    301,304.60x = 44,674,016,522.80
  5. Step 5: Solve for x
    x = 44,674,016,522.80/301,304.60
  6. Step 6: Final answer
    x = 148,268.62

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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.