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Finding the Fourth Proportional to 557,066.13, 768,757.43 and 315,343.40

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Solution

The fourth proportional to 557,066.13, 768,757.43 and 315,343.40 is: 435,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,066.13 : 768,757.43 = 315,343.40 : x
  2. Step 2: Convert to fraction form
    557,066.13/768,757.43 = 315,343.40/x
  3. Step 3: Cross multiply
    557,066.13x = 768,757.43 × 315,343.40
  4. Step 4: Simplify right side
    557,066.13x = 242,422,578,696.03
  5. Step 5: Solve for x
    x = 242,422,578,696.03/557,066.13
  6. Step 6: Final answer
    x = 435,177.38

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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.