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Finding the Fourth Proportional to 509,155.82, 763,832.08 and 193,588.20

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Solution

The fourth proportional to 509,155.82, 763,832.08 and 193,588.20 is: 290,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,155.82 : 763,832.08 = 193,588.20 : x
  2. Step 2: Convert to fraction form
    509,155.82/763,832.08 = 193,588.20/x
  3. Step 3: Cross multiply
    509,155.82x = 763,832.08 × 193,588.20
  4. Step 4: Simplify right side
    509,155.82x = 147,868,877,469.46
  5. Step 5: Solve for x
    x = 147,868,877,469.46/509,155.82
  6. Step 6: Final answer
    x = 290,419.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.