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Finding the Fourth Proportional to 407,647.40, 611,471.10 and 127,164.20

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Solution

The fourth proportional to 407,647.40, 611,471.10 and 127,164.20 is: 190,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,647.40 : 611,471.10 = 127,164.20 : x
  2. Step 2: Convert to fraction form
    407,647.40/611,471.10 = 127,164.20/x
  3. Step 3: Cross multiply
    407,647.40x = 611,471.10 × 127,164.20
  4. Step 4: Simplify right side
    407,647.40x = 77,757,233,254.62
  5. Step 5: Solve for x
    x = 77,757,233,254.62/407,647.40
  6. Step 6: Final answer
    x = 190,746.30

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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.