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Finding the Fourth Proportional to 400,580.40, 601,210.80 and 164,092.80

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Solution

The fourth proportional to 400,580.40, 601,210.80 and 164,092.80 is: 246,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,580.40 : 601,210.80 = 164,092.80 : x
  2. Step 2: Convert to fraction form
    400,580.40/601,210.80 = 164,092.80/x
  3. Step 3: Cross multiply
    400,580.40x = 601,210.80 × 164,092.80
  4. Step 4: Simplify right side
    400,580.40x = 98,654,363,562.24
  5. Step 5: Solve for x
    x = 98,654,363,562.24/400,580.40
  6. Step 6: Final answer
    x = 246,278.56

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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.