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Finding the Fourth Proportional to 310,261.39, 465,532.43 and 158,380.00

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Solution

The fourth proportional to 310,261.39, 465,532.43 and 158,380.00 is: 237,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,261.39 : 465,532.43 = 158,380.00 : x
  2. Step 2: Convert to fraction form
    310,261.39/465,532.43 = 158,380.00/x
  3. Step 3: Cross multiply
    310,261.39x = 465,532.43 × 158,380.00
  4. Step 4: Simplify right side
    310,261.39x = 73,731,024,307.67
  5. Step 5: Solve for x
    x = 73,731,024,307.67/310,261.39
  6. Step 6: Final answer
    x = 237,641.64

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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.