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Finding the Fourth Proportional to 519,434.78, 716,616.36 and 301,606.25

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Solution

The fourth proportional to 519,434.78, 716,616.36 and 301,606.25 is: 416,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,434.78 : 716,616.36 = 301,606.25 : x
  2. Step 2: Convert to fraction form
    519,434.78/716,616.36 = 301,606.25/x
  3. Step 3: Cross multiply
    519,434.78x = 716,616.36 × 301,606.25
  4. Step 4: Simplify right side
    519,434.78x = 216,135,973,028.25
  5. Step 5: Solve for x
    x = 216,135,973,028.25/519,434.78
  6. Step 6: Final answer
    x = 416,098.38

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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.