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Finding the Fourth Proportional to 302,720.88, 417,754.86 and 175,470.30

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Solution

The fourth proportional to 302,720.88, 417,754.86 and 175,470.30 is: 242,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,720.88 : 417,754.86 = 175,470.30 : x
  2. Step 2: Convert to fraction form
    302,720.88/417,754.86 = 175,470.30/x
  3. Step 3: Cross multiply
    302,720.88x = 417,754.86 × 175,470.30
  4. Step 4: Simplify right side
    302,720.88x = 73,303,570,610.66
  5. Step 5: Solve for x
    x = 73,303,570,610.66/302,720.88
  6. Step 6: Final answer
    x = 242,149.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.