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Finding the Fourth Proportional to 401,196.96, 597,615.48 and 379,897.74

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Solution

The fourth proportional to 401,196.96, 597,615.48 and 379,897.74 is: 565,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,196.96 : 597,615.48 = 379,897.74 : x
  2. Step 2: Convert to fraction form
    401,196.96/597,615.48 = 379,897.74/x
  3. Step 3: Cross multiply
    401,196.96x = 597,615.48 × 379,897.74
  4. Step 4: Simplify right side
    401,196.96x = 227,032,770,241.02
  5. Step 5: Solve for x
    x = 227,032,770,241.02/401,196.96
  6. Step 6: Final answer
    x = 565,888.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.