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Finding the Fourth Proportional to 401,497.96, 602,146.12 and 164,905.96

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Solution

The fourth proportional to 401,497.96, 602,146.12 and 164,905.96 is: 247,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,497.96 : 602,146.12 = 164,905.96 : x
  2. Step 2: Convert to fraction form
    401,497.96/602,146.12 = 164,905.96/x
  3. Step 3: Cross multiply
    401,497.96x = 602,146.12 × 164,905.96
  4. Step 4: Simplify right side
    401,497.96x = 99,297,483,978.88
  5. Step 5: Solve for x
    x = 99,297,483,978.88/401,497.96
  6. Step 6: Final answer
    x = 247,317.53

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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.