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Finding the Fourth Proportional to 772,996.14, 1,066,745.67 and 467,029.98

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Solution

The fourth proportional to 772,996.14, 1,066,745.67 and 467,029.98 is: 644,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,996.14 : 1,066,745.67 = 467,029.98 : x
  2. Step 2: Convert to fraction form
    772,996.14/1,066,745.67 = 467,029.98/x
  3. Step 3: Cross multiply
    772,996.14x = 1,066,745.67 × 467,029.98
  4. Step 4: Simplify right side
    772,996.14x = 498,202,208,925.19
  5. Step 5: Solve for x
    x = 498,202,208,925.19/772,996.14
  6. Step 6: Final answer
    x = 644,508.02

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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.