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Finding the Fourth Proportional to 415,918.61, 573,994.25 and 234,564.37

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Solution

The fourth proportional to 415,918.61, 573,994.25 and 234,564.37 is: 323,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,918.61 : 573,994.25 = 234,564.37 : x
  2. Step 2: Convert to fraction form
    415,918.61/573,994.25 = 234,564.37/x
  3. Step 3: Cross multiply
    415,918.61x = 573,994.25 × 234,564.37
  4. Step 4: Simplify right side
    415,918.61x = 134,638,599,226.11
  5. Step 5: Solve for x
    x = 134,638,599,226.11/415,918.61
  6. Step 6: Final answer
    x = 323,713.81

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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.