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Finding the Fourth Proportional to 407,649.40, 611,474.10 and 127,166.20

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Solution

The fourth proportional to 407,649.40, 611,474.10 and 127,166.20 is: 190,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,649.40 : 611,474.10 = 127,166.20 : x
  2. Step 2: Convert to fraction form
    407,649.40/611,474.10 = 127,166.20/x
  3. Step 3: Cross multiply
    407,649.40x = 611,474.10 × 127,166.20
  4. Step 4: Simplify right side
    407,649.40x = 77,758,837,695.42
  5. Step 5: Solve for x
    x = 77,758,837,695.42/407,649.40
  6. Step 6: Final answer
    x = 190,749.30

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Similar ratio
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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.