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Finding the Fourth Proportional to 617,785, 852,537.54 and 349,513

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Solution

The fourth proportional to 617,785, 852,537.54 and 349,513 is: 482,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,785 : 852,537.54 = 349,513 : x
  2. Step 2: Convert to fraction form
    617,785/852,537.54 = 349,513/x
  3. Step 3: Cross multiply
    617,785x = 852,537.54 × 349,513
  4. Step 4: Simplify right side
    617,785x = 297,972,953,218.02
  5. Step 5: Solve for x
    x = 297,972,953,218.02/617,785
  6. Step 6: Final answer
    x = 482,324.68

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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.