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Finding the Fourth Proportional to 313,092.40, 469,897.80 and 144,871.60

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Solution

The fourth proportional to 313,092.40, 469,897.80 and 144,871.60 is: 217,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,092.40 : 469,897.80 = 144,871.60 : x
  2. Step 2: Convert to fraction form
    313,092.40/469,897.80 = 144,871.60/x
  3. Step 3: Cross multiply
    313,092.40x = 469,897.80 × 144,871.60
  4. Step 4: Simplify right side
    313,092.40x = 68,074,846,122.48
  5. Step 5: Solve for x
    x = 68,074,846,122.48/313,092.40
  6. Step 6: Final answer
    x = 217,427.33

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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.