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Finding the Fourth Proportional to 310,261.73, 465,532.95 and 158,380.35

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Solution

The fourth proportional to 310,261.73, 465,532.95 and 158,380.35 is: 237,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,261.73 : 465,532.95 = 158,380.35 : x
  2. Step 2: Convert to fraction form
    310,261.73/465,532.95 = 158,380.35/x
  3. Step 3: Cross multiply
    310,261.73x = 465,532.95 × 158,380.35
  4. Step 4: Simplify right side
    310,261.73x = 73,731,274,333.64
  5. Step 5: Solve for x
    x = 73,731,274,333.64/310,261.73
  6. Step 6: Final answer
    x = 237,642.18

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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.