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Finding the Fourth Proportional to 477,634.97, 659,182.77 and 356,566.02

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Solution

The fourth proportional to 477,634.97, 659,182.77 and 356,566.02 is: 492,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,634.97 : 659,182.77 = 356,566.02 : x
  2. Step 2: Convert to fraction form
    477,634.97/659,182.77 = 356,566.02/x
  3. Step 3: Cross multiply
    477,634.97x = 659,182.77 × 356,566.02
  4. Step 4: Simplify right side
    477,634.97x = 235,042,176,751.48
  5. Step 5: Solve for x
    x = 235,042,176,751.48/477,634.97
  6. Step 6: Final answer
    x = 492,095.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.