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Finding the Fourth Proportional to 613,674.82, 846,435.01 and 409,622.86

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Solution

The fourth proportional to 613,674.82, 846,435.01 and 409,622.86 is: 564,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,674.82 : 846,435.01 = 409,622.86 : x
  2. Step 2: Convert to fraction form
    613,674.82/846,435.01 = 409,622.86/x
  3. Step 3: Cross multiply
    613,674.82x = 846,435.01 × 409,622.86
  4. Step 4: Simplify right side
    613,674.82x = 346,719,126,460.18
  5. Step 5: Solve for x
    x = 346,719,126,460.18/613,674.82
  6. Step 6: Final answer
    x = 564,988.36

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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.