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Finding the Fourth Proportional to 310,263.33, 465,241.74 and 182,211.74

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Solution

The fourth proportional to 310,263.33, 465,241.74 and 182,211.74 is: 273,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,263.33 : 465,241.74 = 182,211.74 : x
  2. Step 2: Convert to fraction form
    310,263.33/465,241.74 = 182,211.74/x
  3. Step 3: Cross multiply
    310,263.33x = 465,241.74 × 182,211.74
  4. Step 4: Simplify right side
    310,263.33x = 84,772,506,966.03
  5. Step 5: Solve for x
    x = 84,772,506,966.03/310,263.33
  6. Step 6: Final answer
    x = 273,227.61

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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.