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Finding the Fourth Proportional to 312,333.24, 431,032.14 and 176,395.80

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Solution

The fourth proportional to 312,333.24, 431,032.14 and 176,395.80 is: 243,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,333.24 : 431,032.14 = 176,395.80 : x
  2. Step 2: Convert to fraction form
    312,333.24/431,032.14 = 176,395.80/x
  3. Step 3: Cross multiply
    312,333.24x = 431,032.14 × 176,395.80
  4. Step 4: Simplify right side
    312,333.24x = 76,032,259,161.01
  5. Step 5: Solve for x
    x = 76,032,259,161.01/312,333.24
  6. Step 6: Final answer
    x = 243,433.13

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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.