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Finding the Fourth Proportional to 413,027.85, 619,541.82 and 146,798.88

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Solution

The fourth proportional to 413,027.85, 619,541.82 and 146,798.88 is: 220,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,027.85 : 619,541.82 = 146,798.88 : x
  2. Step 2: Convert to fraction form
    413,027.85/619,541.82 = 146,798.88/x
  3. Step 3: Cross multiply
    413,027.85x = 619,541.82 × 146,798.88
  4. Step 4: Simplify right side
    413,027.85x = 90,948,045,289.16
  5. Step 5: Solve for x
    x = 90,948,045,289.16/413,027.85
  6. Step 6: Final answer
    x = 220,198.34

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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.