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Finding the Fourth Proportional to 775,675.73, 1,069,995.14 and 465,498.99

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Solution

The fourth proportional to 775,675.73, 1,069,995.14 and 465,498.99 is: 642,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,675.73 : 1,069,995.14 = 465,498.99 : x
  2. Step 2: Convert to fraction form
    775,675.73/1,069,995.14 = 465,498.99/x
  3. Step 3: Cross multiply
    775,675.73x = 1,069,995.14 × 465,498.99
  4. Step 4: Simplify right side
    775,675.73x = 498,081,656,566.78
  5. Step 5: Solve for x
    x = 498,081,656,566.78/775,675.73
  6. Step 6: Final answer
    x = 642,126.13

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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.