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Finding the Fourth Proportional to 338,742, 467,458.56 and 185,783.76

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Solution

The fourth proportional to 338,742, 467,458.56 and 185,783.76 is: 256,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,742 : 467,458.56 = 185,783.76 : x
  2. Step 2: Convert to fraction form
    338,742/467,458.56 = 185,783.76/x
  3. Step 3: Cross multiply
    338,742x = 467,458.56 × 185,783.76
  4. Step 4: Simplify right side
    338,742x = 86,846,208,920.99
  5. Step 5: Solve for x
    x = 86,846,208,920.99/338,742
  6. Step 6: Final answer
    x = 256,378.63

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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.