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Finding the Fourth Proportional to 513,721.48, 709,078.12 and 298,903.04

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Solution

The fourth proportional to 513,721.48, 709,078.12 and 298,903.04 is: 412,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,721.48 : 709,078.12 = 298,903.04 : x
  2. Step 2: Convert to fraction form
    513,721.48/709,078.12 = 298,903.04/x
  3. Step 3: Cross multiply
    513,721.48x = 709,078.12 × 298,903.04
  4. Step 4: Simplify right side
    513,721.48x = 211,945,605,665.49
  5. Step 5: Solve for x
    x = 211,945,605,665.49/513,721.48
  6. Step 6: Final answer
    x = 412,569.09

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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.