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Finding the Fourth Proportional to 302,352.42, 417,106.74 and 194,956.95

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Solution

The fourth proportional to 302,352.42, 417,106.74 and 194,956.95 is: 268,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,352.42 : 417,106.74 = 194,956.95 : x
  2. Step 2: Convert to fraction form
    302,352.42/417,106.74 = 194,956.95/x
  3. Step 3: Cross multiply
    302,352.42x = 417,106.74 × 194,956.95
  4. Step 4: Simplify right side
    302,352.42x = 81,317,857,854.84
  5. Step 5: Solve for x
    x = 81,317,857,854.84/302,352.42
  6. Step 6: Final answer
    x = 268,950.58

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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.