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Finding the Fourth Proportional to 785,899, 1,084,540.62 and 428,203

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Solution

The fourth proportional to 785,899, 1,084,540.62 and 428,203 is: 590,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,899 : 1,084,540.62 = 428,203 : x
  2. Step 2: Convert to fraction form
    785,899/1,084,540.62 = 428,203/x
  3. Step 3: Cross multiply
    785,899x = 1,084,540.62 × 428,203
  4. Step 4: Simplify right side
    785,899x = 464,403,547,105.86
  5. Step 5: Solve for x
    x = 464,403,547,105.86/785,899
  6. Step 6: Final answer
    x = 590,920.14

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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.