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Finding the Fourth Proportional to 302,294.84, 417,160.14 and 174,967.88

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Solution

The fourth proportional to 302,294.84, 417,160.14 and 174,967.88 is: 241,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,294.84 : 417,160.14 = 174,967.88 : x
  2. Step 2: Convert to fraction form
    302,294.84/417,160.14 = 174,967.88/x
  3. Step 3: Cross multiply
    302,294.84x = 417,160.14 × 174,967.88
  4. Step 4: Simplify right side
    302,294.84x = 72,989,625,316.30
  5. Step 5: Solve for x
    x = 72,989,625,316.30/302,294.84
  6. Step 6: Final answer
    x = 241,451.77

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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.