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Finding the Fourth Proportional to 340,228.36, 510,371.34 and 103,573

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Solution

The fourth proportional to 340,228.36, 510,371.34 and 103,573 is: 155,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,228.36 : 510,371.34 = 103,573 : x
  2. Step 2: Convert to fraction form
    340,228.36/510,371.34 = 103,573/x
  3. Step 3: Cross multiply
    340,228.36x = 510,371.34 × 103,573
  4. Step 4: Simplify right side
    340,228.36x = 52,860,690,797.82
  5. Step 5: Solve for x
    x = 52,860,690,797.82/340,228.36
  6. Step 6: Final answer
    x = 155,368.27

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Why These Related Problems?

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