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Finding the Fourth Proportional to 1,766,476.40, 2,649,714.60 and 1,660,188.20

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Solution

The fourth proportional to 1,766,476.40, 2,649,714.60 and 1,660,188.20 is: 2,490,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,476.40 : 2,649,714.60 = 1,660,188.20 : x
  2. Step 2: Convert to fraction form
    1,766,476.40/2,649,714.60 = 1,660,188.20/x
  3. Step 3: Cross multiply
    1,766,476.40x = 2,649,714.60 × 1,660,188.20
  4. Step 4: Simplify right side
    1,766,476.40x = 4,399,024,912,287.72
  5. Step 5: Solve for x
    x = 4,399,024,912,287.72/1,766,476.40
  6. Step 6: Final answer
    x = 2,490,282.30

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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.