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Finding the Fourth Proportional to 491,459.40, 737,577.90 and 192,083.40

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Solution

The fourth proportional to 491,459.40, 737,577.90 and 192,083.40 is: 288,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,459.40 : 737,577.90 = 192,083.40 : x
  2. Step 2: Convert to fraction form
    491,459.40/737,577.90 = 192,083.40/x
  3. Step 3: Cross multiply
    491,459.40x = 737,577.90 × 192,083.40
  4. Step 4: Simplify right side
    491,459.40x = 141,676,470,796.86
  5. Step 5: Solve for x
    x = 141,676,470,796.86/491,459.40
  6. Step 6: Final answer
    x = 288,277.06

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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.