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Finding the Fourth Proportional to 509,064.35, 763,694.73 and 193,496.58

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Solution

The fourth proportional to 509,064.35, 763,694.73 and 193,496.58 is: 290,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,064.35 : 763,694.73 = 193,496.58 : x
  2. Step 2: Convert to fraction form
    509,064.35/763,694.73 = 193,496.58/x
  3. Step 3: Cross multiply
    509,064.35x = 763,694.73 × 193,496.58
  4. Step 4: Simplify right side
    509,064.35x = 147,772,318,419.02
  5. Step 5: Solve for x
    x = 147,772,318,419.02/509,064.35
  6. Step 6: Final answer
    x = 290,282.20

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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.