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Finding the Fourth Proportional to 613,675.38, 846,435.79 and 409,623.42

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Solution

The fourth proportional to 613,675.38, 846,435.79 and 409,623.42 is: 564,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,675.38 : 846,435.79 = 409,623.42 : x
  2. Step 2: Convert to fraction form
    613,675.38/846,435.79 = 409,623.42/x
  3. Step 3: Cross multiply
    613,675.38x = 846,435.79 × 409,623.42
  4. Step 4: Simplify right side
    613,675.38x = 346,719,922,086.14
  5. Step 5: Solve for x
    x = 346,719,922,086.14/613,675.38
  6. Step 6: Final answer
    x = 564,989.13

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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.