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Finding the Fourth Proportional to 341,656.40, 512,946.30 and 199,647.20

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Solution

The fourth proportional to 341,656.40, 512,946.30 and 199,647.20 is: 299,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,656.40 : 512,946.30 = 199,647.20 : x
  2. Step 2: Convert to fraction form
    341,656.40/512,946.30 = 199,647.20/x
  3. Step 3: Cross multiply
    341,656.40x = 512,946.30 × 199,647.20
  4. Step 4: Simplify right side
    341,656.40x = 102,408,292,545.36
  5. Step 5: Solve for x
    x = 102,408,292,545.36/341,656.40
  6. Step 6: Final answer
    x = 299,740.59

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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.