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Finding the Fourth Proportional to 513,289, 769,920.54 and 139,302.28

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Solution

The fourth proportional to 513,289, 769,920.54 and 139,302.28 is: 208,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,289 : 769,920.54 = 139,302.28 : x
  2. Step 2: Convert to fraction form
    513,289/769,920.54 = 139,302.28/x
  3. Step 3: Cross multiply
    513,289x = 769,920.54 × 139,302.28
  4. Step 4: Simplify right side
    513,289x = 107,251,686,640.83
  5. Step 5: Solve for x
    x = 107,251,686,640.83/513,289
  6. Step 6: Final answer
    x = 208,949.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.