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Finding the Fourth Proportional to 302,680.20, 417,698.68 and 175,429.60

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Solution

The fourth proportional to 302,680.20, 417,698.68 and 175,429.60 is: 242,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,680.20 : 417,698.68 = 175,429.60 : x
  2. Step 2: Convert to fraction form
    302,680.20/417,698.68 = 175,429.60/x
  3. Step 3: Cross multiply
    302,680.20x = 417,698.68 × 175,429.60
  4. Step 4: Simplify right side
    302,680.20x = 73,276,712,352.93
  5. Step 5: Solve for x
    x = 73,276,712,352.93/302,680.20
  6. Step 6: Final answer
    x = 242,092.85

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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.