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Finding the Fourth Proportional to 1,201,011, 1,657,416.24 and 657,194.43

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Solution

The fourth proportional to 1,201,011, 1,657,416.24 and 657,194.43 is: 906,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,011 : 1,657,416.24 = 657,194.43 : x
  2. Step 2: Convert to fraction form
    1,201,011/1,657,416.24 = 657,194.43/x
  3. Step 3: Cross multiply
    1,201,011x = 1,657,416.24 × 657,194.43
  4. Step 4: Simplify right side
    1,201,011x = 1,089,244,721,119.54
  5. Step 5: Solve for x
    x = 1,089,244,721,119.54/1,201,011
  6. Step 6: Final answer
    x = 906,939.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.