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Finding the Fourth Proportional to 413,217.64, 619,611.40 and 146,939.46

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Solution

The fourth proportional to 413,217.64, 619,611.40 and 146,939.46 is: 220,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,217.64 : 619,611.40 = 146,939.46 : x
  2. Step 2: Convert to fraction form
    413,217.64/619,611.40 = 146,939.46/x
  3. Step 3: Cross multiply
    413,217.64x = 619,611.40 × 146,939.46
  4. Step 4: Simplify right side
    413,217.64x = 91,045,364,525.84
  5. Step 5: Solve for x
    x = 91,045,364,525.84/413,217.64
  6. Step 6: Final answer
    x = 220,332.72

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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.