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Finding the Fourth Proportional to 411,003, 616,628.82 and 291,291.48

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Solution

The fourth proportional to 411,003, 616,628.82 and 291,291.48 is: 437,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,003 : 616,628.82 = 291,291.48 : x
  2. Step 2: Convert to fraction form
    411,003/616,628.82 = 291,291.48/x
  3. Step 3: Cross multiply
    411,003x = 616,628.82 × 291,291.48
  4. Step 4: Simplify right side
    411,003x = 179,618,721,588.45
  5. Step 5: Solve for x
    x = 179,618,721,588.45/411,003
  6. Step 6: Final answer
    x = 437,025.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.