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Finding the Fourth Proportional to 585,206.50, 807,584.97 and 316,934.50

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Solution

The fourth proportional to 585,206.50, 807,584.97 and 316,934.50 is: 437,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,206.50 : 807,584.97 = 316,934.50 : x
  2. Step 2: Convert to fraction form
    585,206.50/807,584.97 = 316,934.50/x
  3. Step 3: Cross multiply
    585,206.50x = 807,584.97 × 316,934.50
  4. Step 4: Simplify right side
    585,206.50x = 255,951,538,674.47
  5. Step 5: Solve for x
    x = 255,951,538,674.47/585,206.50
  6. Step 6: Final answer
    x = 437,369.61

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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.