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Finding the Fourth Proportional to 340,358.36, 510,593 and 100,496.51

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Solution

The fourth proportional to 340,358.36, 510,593 and 100,496.51 is: 150,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,358.36 : 510,593 = 100,496.51 : x
  2. Step 2: Convert to fraction form
    340,358.36/510,593 = 100,496.51/x
  3. Step 3: Cross multiply
    340,358.36x = 510,593 × 100,496.51
  4. Step 4: Simplify right side
    340,358.36x = 51,312,811,977.47
  5. Step 5: Solve for x
    x = 51,312,811,977.47/340,358.36
  6. Step 6: Final answer
    x = 150,761.13

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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.