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Finding the Fourth Proportional to 477,735.33, 715,815.66 and 277,493.61

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Solution

The fourth proportional to 477,735.33, 715,815.66 and 277,493.61 is: 415,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,735.33 : 715,815.66 = 277,493.61 : x
  2. Step 2: Convert to fraction form
    477,735.33/715,815.66 = 277,493.61/x
  3. Step 3: Cross multiply
    477,735.33x = 715,815.66 × 277,493.61
  4. Step 4: Simplify right side
    477,735.33x = 198,634,271,587.93
  5. Step 5: Solve for x
    x = 198,634,271,587.93/477,735.33
  6. Step 6: Final answer
    x = 415,783.09

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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.