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Finding the Fourth Proportional to 413,027.00, 619,726.34 and 223,265.16

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Solution

The fourth proportional to 413,027.00, 619,726.34 and 223,265.16 is: 334,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,027.00 : 619,726.34 = 223,265.16 : x
  2. Step 2: Convert to fraction form
    413,027.00/619,726.34 = 223,265.16/x
  3. Step 3: Cross multiply
    413,027.00x = 619,726.34 × 223,265.16
  4. Step 4: Simplify right side
    413,027.00x = 138,363,301,014.48
  5. Step 5: Solve for x
    x = 138,363,301,014.48/413,027.00
  6. Step 6: Final answer
    x = 334,998.20

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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.