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Finding the Fourth Proportional to 523,611.46, 722,586.70 and 294,178.42

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Solution

The fourth proportional to 523,611.46, 722,586.70 and 294,178.42 is: 405,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,611.46 : 722,586.70 = 294,178.42 : x
  2. Step 2: Convert to fraction form
    523,611.46/722,586.70 = 294,178.42/x
  3. Step 3: Cross multiply
    523,611.46x = 722,586.70 × 294,178.42
  4. Step 4: Simplify right side
    523,611.46x = 212,569,413,719.01
  5. Step 5: Solve for x
    x = 212,569,413,719.01/523,611.46
  6. Step 6: Final answer
    x = 405,967.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.