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Finding the Fourth Proportional to 302,447.20, 417,416.88 and 173,436.16

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Solution

The fourth proportional to 302,447.20, 417,416.88 and 173,436.16 is: 239,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,447.20 : 417,416.88 = 173,436.16 : x
  2. Step 2: Convert to fraction form
    302,447.20/417,416.88 = 173,436.16/x
  3. Step 3: Cross multiply
    302,447.20x = 417,416.88 × 173,436.16
  4. Step 4: Simplify right side
    302,447.20x = 72,395,180,786.38
  5. Step 5: Solve for x
    x = 72,395,180,786.38/302,447.20
  6. Step 6: Final answer
    x = 239,364.69

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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.