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Finding the Fourth Proportional to 302,962.38, 418,069.15 and 166,997.40

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Solution

The fourth proportional to 302,962.38, 418,069.15 and 166,997.40 is: 230,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,962.38 : 418,069.15 = 166,997.40 : x
  2. Step 2: Convert to fraction form
    302,962.38/418,069.15 = 166,997.40/x
  3. Step 3: Cross multiply
    302,962.38x = 418,069.15 × 166,997.40
  4. Step 4: Simplify right side
    302,962.38x = 69,816,461,070.21
  5. Step 5: Solve for x
    x = 69,816,461,070.21/302,962.38
  6. Step 6: Final answer
    x = 230,445.98

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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.