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Finding the Fourth Proportional to 334,951.61, 462,116.88 and 214,163.60

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Solution

The fourth proportional to 334,951.61, 462,116.88 and 214,163.60 is: 295,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,951.61 : 462,116.88 = 214,163.60 : x
  2. Step 2: Convert to fraction form
    334,951.61/462,116.88 = 214,163.60/x
  3. Step 3: Cross multiply
    334,951.61x = 462,116.88 × 214,163.60
  4. Step 4: Simplify right side
    334,951.61x = 98,968,612,330.98
  5. Step 5: Solve for x
    x = 98,968,612,330.98/334,951.61
  6. Step 6: Final answer
    x = 295,471.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.