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Finding the Fourth Proportional to 297,123.30, 409,992.39 and 169,807.14

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Solution

The fourth proportional to 297,123.30, 409,992.39 and 169,807.14 is: 234,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,123.30 : 409,992.39 = 169,807.14 : x
  2. Step 2: Convert to fraction form
    297,123.30/409,992.39 = 169,807.14/x
  3. Step 3: Cross multiply
    297,123.30x = 409,992.39 × 169,807.14
  4. Step 4: Simplify right side
    297,123.30x = 69,619,635,167.66
  5. Step 5: Solve for x
    x = 69,619,635,167.66/297,123.30
  6. Step 6: Final answer
    x = 234,312.27

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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.