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Finding the Fourth Proportional to 413,003.91, 570,023.43 and 269,886.63

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Solution

The fourth proportional to 413,003.91, 570,023.43 and 269,886.63 is: 372,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,003.91 : 570,023.43 = 269,886.63 : x
  2. Step 2: Convert to fraction form
    413,003.91/570,023.43 = 269,886.63/x
  3. Step 3: Cross multiply
    413,003.91x = 570,023.43 × 269,886.63
  4. Step 4: Simplify right side
    413,003.91x = 153,841,702,543.74
  5. Step 5: Solve for x
    x = 153,841,702,543.74/413,003.91
  6. Step 6: Final answer
    x = 372,494.54

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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.