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Finding the Fourth Proportional to 617,476.48, 926,197.44 and 196,777.60

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Solution

The fourth proportional to 617,476.48, 926,197.44 and 196,777.60 is: 295,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,476.48 : 926,197.44 = 196,777.60 : x
  2. Step 2: Convert to fraction form
    617,476.48/926,197.44 = 196,777.60/x
  3. Step 3: Cross multiply
    617,476.48x = 926,197.44 × 196,777.60
  4. Step 4: Simplify right side
    617,476.48x = 182,254,909,369.34
  5. Step 5: Solve for x
    x = 182,254,909,369.34/617,476.48
  6. Step 6: Final answer
    x = 295,160.89

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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.