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Finding the Fourth Proportional to 530,343.16, 731,906.22 and 304,022.68

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Solution

The fourth proportional to 530,343.16, 731,906.22 and 304,022.68 is: 419,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,343.16 : 731,906.22 = 304,022.68 : x
  2. Step 2: Convert to fraction form
    530,343.16/731,906.22 = 304,022.68/x
  3. Step 3: Cross multiply
    530,343.16x = 731,906.22 × 304,022.68
  4. Step 4: Simplify right side
    530,343.16x = 222,516,090,513.07
  5. Step 5: Solve for x
    x = 222,516,090,513.07/530,343.16
  6. Step 6: Final answer
    x = 419,570.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.