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Finding the Fourth Proportional to 302,200.23, 417,050.46 and 174,851.22

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Solution

The fourth proportional to 302,200.23, 417,050.46 and 174,851.22 is: 241,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,200.23 : 417,050.46 = 174,851.22 : x
  2. Step 2: Convert to fraction form
    302,200.23/417,050.46 = 174,851.22/x
  3. Step 3: Cross multiply
    302,200.23x = 417,050.46 × 174,851.22
  4. Step 4: Simplify right side
    302,200.23x = 72,921,781,732.56
  5. Step 5: Solve for x
    x = 72,921,781,732.56/302,200.23
  6. Step 6: Final answer
    x = 241,302.87

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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.