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Finding the Fourth Proportional to 472,897.20, 709,410.60 and 173,305.20

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Solution

The fourth proportional to 472,897.20, 709,410.60 and 173,305.20 is: 259,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,897.20 : 709,410.60 = 173,305.20 : x
  2. Step 2: Convert to fraction form
    472,897.20/709,410.60 = 173,305.20/x
  3. Step 3: Cross multiply
    472,897.20x = 709,410.60 × 173,305.20
  4. Step 4: Simplify right side
    472,897.20x = 122,944,545,915.12
  5. Step 5: Solve for x
    x = 122,944,545,915.12/472,897.20
  6. Step 6: Final answer
    x = 259,981.55

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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.