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Finding the Fourth Proportional to 302,733.25, 417,784.85 and 168,597.25

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Solution

The fourth proportional to 302,733.25, 417,784.85 and 168,597.25 is: 232,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,733.25 : 417,784.85 = 168,597.25 : x
  2. Step 2: Convert to fraction form
    302,733.25/417,784.85 = 168,597.25/x
  3. Step 3: Cross multiply
    302,733.25x = 417,784.85 × 168,597.25
  4. Step 4: Simplify right side
    302,733.25x = 70,437,376,801.66
  5. Step 5: Solve for x
    x = 70,437,376,801.66/302,733.25
  6. Step 6: Final answer
    x = 232,671.43

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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.