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Finding the Fourth Proportional to 473,603.13, 706,949.78 and 413,815.41

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Solution

The fourth proportional to 473,603.13, 706,949.78 and 413,815.41 is: 617,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,603.13 : 706,949.78 = 413,815.41 : x
  2. Step 2: Convert to fraction form
    473,603.13/706,949.78 = 413,815.41/x
  3. Step 3: Cross multiply
    473,603.13x = 706,949.78 × 413,815.41
  4. Step 4: Simplify right side
    473,603.13x = 292,546,710,991.03
  5. Step 5: Solve for x
    x = 292,546,710,991.03/473,603.13
  6. Step 6: Final answer
    x = 617,704.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.