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Finding the Fourth Proportional to 477,180.74, 715,717.02 and 122,197.34

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Solution

The fourth proportional to 477,180.74, 715,717.02 and 122,197.34 is: 183,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,180.74 : 715,717.02 = 122,197.34 : x
  2. Step 2: Convert to fraction form
    477,180.74/715,717.02 = 122,197.34/x
  3. Step 3: Cross multiply
    477,180.74x = 715,717.02 × 122,197.34
  4. Step 4: Simplify right side
    477,180.74x = 87,458,716,036.73
  5. Step 5: Solve for x
    x = 87,458,716,036.73/477,180.74
  6. Step 6: Final answer
    x = 183,282.16

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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.