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Finding the Fourth Proportional to 477,225.30, 715,843.60 and 122,229.84

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Solution

The fourth proportional to 477,225.30, 715,843.60 and 122,229.84 is: 183,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,225.30 : 715,843.60 = 122,229.84 : x
  2. Step 2: Convert to fraction form
    477,225.30/715,843.60 = 122,229.84/x
  3. Step 3: Cross multiply
    477,225.30x = 715,843.60 × 122,229.84
  4. Step 4: Simplify right side
    477,225.30x = 87,497,448,693.02
  5. Step 5: Solve for x
    x = 87,497,448,693.02/477,225.30
  6. Step 6: Final answer
    x = 183,346.21

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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.