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Finding the Fourth Proportional to 310,323.60, 465,442.20 and 99,982.80

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Solution

The fourth proportional to 310,323.60, 465,442.20 and 99,982.80 is: 149,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,323.60 : 465,442.20 = 99,982.80 : x
  2. Step 2: Convert to fraction form
    310,323.60/465,442.20 = 99,982.80/x
  3. Step 3: Cross multiply
    310,323.60x = 465,442.20 × 99,982.80
  4. Step 4: Simplify right side
    310,323.60x = 46,536,214,394.16
  5. Step 5: Solve for x
    x = 46,536,214,394.16/310,323.60
  6. Step 6: Final answer
    x = 149,960.28

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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.