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Finding the Fourth Proportional to 310,293.66, 465,375.14 and 141,766.14

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Solution

The fourth proportional to 310,293.66, 465,375.14 and 141,766.14 is: 212,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,293.66 : 465,375.14 = 141,766.14 : x
  2. Step 2: Convert to fraction form
    310,293.66/465,375.14 = 141,766.14/x
  3. Step 3: Cross multiply
    310,293.66x = 465,375.14 × 141,766.14
  4. Step 4: Simplify right side
    310,293.66x = 65,974,437,249.76
  5. Step 5: Solve for x
    x = 65,974,437,249.76/310,293.66
  6. Step 6: Final answer
    x = 212,619.35

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1.5x scale

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.