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Finding the Fourth Proportional to 513,930.79, 709,299.14 and 296,097.09

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Solution

The fourth proportional to 513,930.79, 709,299.14 and 296,097.09 is: 408,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,930.79 : 709,299.14 = 296,097.09 : x
  2. Step 2: Convert to fraction form
    513,930.79/709,299.14 = 296,097.09/x
  3. Step 3: Cross multiply
    513,930.79x = 709,299.14 × 296,097.09
  4. Step 4: Simplify right side
    513,930.79x = 210,021,411,293.50
  5. Step 5: Solve for x
    x = 210,021,411,293.50/513,930.79
  6. Step 6: Final answer
    x = 408,656.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.