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Finding the Fourth Proportional to 499,421.16, 748,781.82 and 183,837.06

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Solution

The fourth proportional to 499,421.16, 748,781.82 and 183,837.06 is: 275,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,421.16 : 748,781.82 = 183,837.06 : x
  2. Step 2: Convert to fraction form
    499,421.16/748,781.82 = 183,837.06/x
  3. Step 3: Cross multiply
    499,421.16x = 748,781.82 × 183,837.06
  4. Step 4: Simplify right side
    499,421.16x = 137,653,848,370.25
  5. Step 5: Solve for x
    x = 137,653,848,370.25/499,421.16
  6. Step 6: Final answer
    x = 275,626.78

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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.