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Finding the Fourth Proportional to 509,203.59, 702,723.21 and 282,849.09

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Solution

The fourth proportional to 509,203.59, 702,723.21 and 282,849.09 is: 390,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,203.59 : 702,723.21 = 282,849.09 : x
  2. Step 2: Convert to fraction form
    509,203.59/702,723.21 = 282,849.09/x
  3. Step 3: Cross multiply
    509,203.59x = 702,723.21 × 282,849.09
  4. Step 4: Simplify right side
    509,203.59x = 198,764,620,470.38
  5. Step 5: Solve for x
    x = 198,764,620,470.38/509,203.59
  6. Step 6: Final answer
    x = 390,344.11

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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.