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Finding the Fourth Proportional to 297,472.36, 410,509.59 and 161,503.63

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Solution

The fourth proportional to 297,472.36, 410,509.59 and 161,503.63 is: 222,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,472.36 : 410,509.59 = 161,503.63 : x
  2. Step 2: Convert to fraction form
    297,472.36/410,509.59 = 161,503.63/x
  3. Step 3: Cross multiply
    297,472.36x = 410,509.59 × 161,503.63
  4. Step 4: Simplify right side
    297,472.36x = 66,298,788,934.81
  5. Step 5: Solve for x
    x = 66,298,788,934.81/297,472.36
  6. Step 6: Final answer
    x = 222,873.78

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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.