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Finding the Fourth Proportional to 613,233, 846,274.50 and 344,961

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Solution

The fourth proportional to 613,233, 846,274.50 and 344,961 is: 476,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,233 : 846,274.50 = 344,961 : x
  2. Step 2: Convert to fraction form
    613,233/846,274.50 = 344,961/x
  3. Step 3: Cross multiply
    613,233x = 846,274.50 × 344,961
  4. Step 4: Simplify right side
    613,233x = 291,931,697,794.50
  5. Step 5: Solve for x
    x = 291,931,697,794.50/613,233
  6. Step 6: Final answer
    x = 476,053.47

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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.