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Finding the Fourth Proportional to 302,847.96, 417,930.20 and 175,597.36

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Solution

The fourth proportional to 302,847.96, 417,930.20 and 175,597.36 is: 242,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,847.96 : 417,930.20 = 175,597.36 : x
  2. Step 2: Convert to fraction form
    302,847.96/417,930.20 = 175,597.36/x
  3. Step 3: Cross multiply
    302,847.96x = 417,930.20 × 175,597.36
  4. Step 4: Simplify right side
    302,847.96x = 73,387,439,784.27
  5. Step 5: Solve for x
    x = 73,387,439,784.27/302,847.96
  6. Step 6: Final answer
    x = 242,324.37

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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.