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Finding the Fourth Proportional to 302,778.50, 417,834.33 and 168,651.14

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Solution

The fourth proportional to 302,778.50, 417,834.33 and 168,651.14 is: 232,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,778.50 : 417,834.33 = 168,651.14 : x
  2. Step 2: Convert to fraction form
    302,778.50/417,834.33 = 168,651.14/x
  3. Step 3: Cross multiply
    302,778.50x = 417,834.33 × 168,651.14
  4. Step 4: Simplify right side
    302,778.50x = 70,468,236,085.64
  5. Step 5: Solve for x
    x = 70,468,236,085.64/302,778.50
  6. Step 6: Final answer
    x = 232,738.57

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1.5x scale

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.