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Finding the Fourth Proportional to 468,767.82, 646,474.38 and 307,561.62

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Solution

The fourth proportional to 468,767.82, 646,474.38 and 307,561.62 is: 424,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,767.82 : 646,474.38 = 307,561.62 : x
  2. Step 2: Convert to fraction form
    468,767.82/646,474.38 = 307,561.62/x
  3. Step 3: Cross multiply
    468,767.82x = 646,474.38 × 307,561.62
  4. Step 4: Simplify right side
    468,767.82x = 198,830,707,601.30
  5. Step 5: Solve for x
    x = 198,830,707,601.30/468,767.82
  6. Step 6: Final answer
    x = 424,156.05

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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.