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Finding the Fourth Proportional to 564,494.38, 779,004.75 and 309,847.66

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Solution

The fourth proportional to 564,494.38, 779,004.75 and 309,847.66 is: 427,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,494.38 : 779,004.75 = 309,847.66 : x
  2. Step 2: Convert to fraction form
    564,494.38/779,004.75 = 309,847.66/x
  3. Step 3: Cross multiply
    564,494.38x = 779,004.75 × 309,847.66
  4. Step 4: Simplify right side
    564,494.38x = 241,372,798,916.39
  5. Step 5: Solve for x
    x = 241,372,798,916.39/564,494.38
  6. Step 6: Final answer
    x = 427,591.15

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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.