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Finding the Fourth Proportional to 401,534.46, 602,200.65 and 164,942.46

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Solution

The fourth proportional to 401,534.46, 602,200.65 and 164,942.46 is: 247,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,534.46 : 602,200.65 = 164,942.46 : x
  2. Step 2: Convert to fraction form
    401,534.46/602,200.65 = 164,942.46/x
  3. Step 3: Cross multiply
    401,534.46x = 602,200.65 × 164,942.46
  4. Step 4: Simplify right side
    401,534.46x = 99,328,456,624.60
  5. Step 5: Solve for x
    x = 99,328,456,624.60/401,534.46
  6. Step 6: Final answer
    x = 247,372.18

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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.