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Finding the Fourth Proportional to 407,999.40, 611,999.10 and 127,516.20

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Solution

The fourth proportional to 407,999.40, 611,999.10 and 127,516.20 is: 191,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,999.40 : 611,999.10 = 127,516.20 : x
  2. Step 2: Convert to fraction form
    407,999.40/611,999.10 = 127,516.20/x
  3. Step 3: Cross multiply
    407,999.40x = 611,999.10 × 127,516.20
  4. Step 4: Simplify right side
    407,999.40x = 78,039,799,635.42
  5. Step 5: Solve for x
    x = 78,039,799,635.42/407,999.40
  6. Step 6: Final answer
    x = 191,274.30

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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.