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Finding the Fourth Proportional to 417,822.82, 576,024.22 and 286,996.48

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Solution

The fourth proportional to 417,822.82, 576,024.22 and 286,996.48 is: 395,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,822.82 : 576,024.22 = 286,996.48 : x
  2. Step 2: Convert to fraction form
    417,822.82/576,024.22 = 286,996.48/x
  3. Step 3: Cross multiply
    417,822.82x = 576,024.22 × 286,996.48
  4. Step 4: Simplify right side
    417,822.82x = 165,316,923,534.75
  5. Step 5: Solve for x
    x = 165,316,923,534.75/417,822.82
  6. Step 6: Final answer
    x = 395,662.74

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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.