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Finding the Fourth Proportional to 401,493.96, 602,140.14 and 164,901.96

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Solution

The fourth proportional to 401,493.96, 602,140.14 and 164,901.96 is: 247,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,493.96 : 602,140.14 = 164,901.96 : x
  2. Step 2: Convert to fraction form
    401,493.96/602,140.14 = 164,901.96/x
  3. Step 3: Cross multiply
    401,493.96x = 602,140.14 × 164,901.96
  4. Step 4: Simplify right side
    401,493.96x = 99,294,089,280.67
  5. Step 5: Solve for x
    x = 99,294,089,280.67/401,493.96
  6. Step 6: Final answer
    x = 247,311.54

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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.