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Finding the Fourth Proportional to 596,707.94, 823,824.88 and 410,756.90

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Solution

The fourth proportional to 596,707.94, 823,824.88 and 410,756.90 is: 567,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,707.94 : 823,824.88 = 410,756.90 : x
  2. Step 2: Convert to fraction form
    596,707.94/823,824.88 = 410,756.90/x
  3. Step 3: Cross multiply
    596,707.94x = 823,824.88 × 410,756.90
  4. Step 4: Simplify right side
    596,707.94x = 338,391,751,022.66
  5. Step 5: Solve for x
    x = 338,391,751,022.66/596,707.94
  6. Step 6: Final answer
    x = 567,097.79

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