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Finding the Fourth Proportional to 356,941.87, 535,146.48 and 214,753.84

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Solution

The fourth proportional to 356,941.87, 535,146.48 and 214,753.84 is: 321,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,941.87 : 535,146.48 = 214,753.84 : x
  2. Step 2: Convert to fraction form
    356,941.87/535,146.48 = 214,753.84/x
  3. Step 3: Cross multiply
    356,941.87x = 535,146.48 × 214,753.84
  4. Step 4: Simplify right side
    356,941.87x = 114,924,760,204.62
  5. Step 5: Solve for x
    x = 114,924,760,204.62/356,941.87
  6. Step 6: Final answer
    x = 321,970.52

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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.