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Finding the Fourth Proportional to 477,091.77, 715,104.33 and 206,907.94

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Solution

The fourth proportional to 477,091.77, 715,104.33 and 206,907.94 is: 310,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,091.77 : 715,104.33 = 206,907.94 : x
  2. Step 2: Convert to fraction form
    477,091.77/715,104.33 = 206,907.94/x
  3. Step 3: Cross multiply
    477,091.77x = 715,104.33 × 206,907.94
  4. Step 4: Simplify right side
    477,091.77x = 147,960,763,805.38
  5. Step 5: Solve for x
    x = 147,960,763,805.38/477,091.77
  6. Step 6: Final answer
    x = 310,130.61

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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.