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Finding the Fourth Proportional to 498,540.36, 747,909.12 and 183,000

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Solution

The fourth proportional to 498,540.36, 747,909.12 and 183,000 is: 274,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,540.36 : 747,909.12 = 183,000 : x
  2. Step 2: Convert to fraction form
    498,540.36/747,909.12 = 183,000/x
  3. Step 3: Cross multiply
    498,540.36x = 747,909.12 × 183,000
  4. Step 4: Simplify right side
    498,540.36x = 136,867,368,960
  5. Step 5: Solve for x
    x = 136,867,368,960/498,540.36
  6. Step 6: Final answer
    x = 274,536.19

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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.