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Finding the Fourth Proportional to 477,634.84, 659,182.60 and 356,565.90

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Solution

The fourth proportional to 477,634.84, 659,182.60 and 356,565.90 is: 492,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,634.84 : 659,182.60 = 356,565.90 : x
  2. Step 2: Convert to fraction form
    477,634.84/659,182.60 = 356,565.90/x
  3. Step 3: Cross multiply
    477,634.84x = 659,182.60 × 356,565.90
  4. Step 4: Simplify right side
    477,634.84x = 235,042,033,737.43
  5. Step 5: Solve for x
    x = 235,042,033,737.43/477,634.84
  6. Step 6: Final answer
    x = 492,095.66

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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.