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Finding the Fourth Proportional to 310,912.06, 466,380.15 and 97,825.30

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Solution

The fourth proportional to 310,912.06, 466,380.15 and 97,825.30 is: 146,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,912.06 : 466,380.15 = 97,825.30 : x
  2. Step 2: Convert to fraction form
    310,912.06/466,380.15 = 97,825.30/x
  3. Step 3: Cross multiply
    310,912.06x = 466,380.15 × 97,825.30
  4. Step 4: Simplify right side
    310,912.06x = 45,623,778,087.80
  5. Step 5: Solve for x
    x = 45,623,778,087.80/310,912.06
  6. Step 6: Final answer
    x = 146,741.74

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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.