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Finding the Fourth Proportional to 413,216.64, 619,609.90 and 146,938.46

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Solution

The fourth proportional to 413,216.64, 619,609.90 and 146,938.46 is: 220,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,216.64 : 619,609.90 = 146,938.46 : x
  2. Step 2: Convert to fraction form
    413,216.64/619,609.90 = 146,938.46/x
  3. Step 3: Cross multiply
    413,216.64x = 619,609.90 × 146,938.46
  4. Step 4: Simplify right side
    413,216.64x = 91,044,524,506.75
  5. Step 5: Solve for x
    x = 91,044,524,506.75/413,216.64
  6. Step 6: Final answer
    x = 220,331.22

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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.