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Finding the Fourth Proportional to 509,376.30, 764,089.84 and 193,857.66

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Solution

The fourth proportional to 509,376.30, 764,089.84 and 193,857.66 is: 290,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,376.30 : 764,089.84 = 193,857.66 : x
  2. Step 2: Convert to fraction form
    509,376.30/764,089.84 = 193,857.66/x
  3. Step 3: Cross multiply
    509,376.30x = 764,089.84 × 193,857.66
  4. Step 4: Simplify right side
    509,376.30x = 148,124,668,412.17
  5. Step 5: Solve for x
    x = 148,124,668,412.17/509,376.30
  6. Step 6: Final answer
    x = 290,796.15

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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.