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Finding the Fourth Proportional to 346,514.70, 519,772.05 and 212,961.90

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Solution

The fourth proportional to 346,514.70, 519,772.05 and 212,961.90 is: 319,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,514.70 : 519,772.05 = 212,961.90 : x
  2. Step 2: Convert to fraction form
    346,514.70/519,772.05 = 212,961.90/x
  3. Step 3: Cross multiply
    346,514.70x = 519,772.05 × 212,961.90
  4. Step 4: Simplify right side
    346,514.70x = 110,691,643,334.90
  5. Step 5: Solve for x
    x = 110,691,643,334.90/346,514.70
  6. Step 6: Final answer
    x = 319,442.85

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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.