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Finding the Fourth Proportional to 302,222.76, 417,081.51 and 174,873.72

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Solution

The fourth proportional to 302,222.76, 417,081.51 and 174,873.72 is: 241,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,222.76 : 417,081.51 = 174,873.72 : x
  2. Step 2: Convert to fraction form
    302,222.76/417,081.51 = 174,873.72/x
  3. Step 3: Cross multiply
    302,222.76x = 417,081.51 × 174,873.72
  4. Step 4: Simplify right side
    302,222.76x = 72,936,595,196.92
  5. Step 5: Solve for x
    x = 72,936,595,196.92/302,222.76
  6. Step 6: Final answer
    x = 241,333.89

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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.