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Finding the Fourth Proportional to 1,201,012, 1,657,417.62 and 657,195.43

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Solution

The fourth proportional to 1,201,012, 1,657,417.62 and 657,195.43 is: 906,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,012 : 1,657,417.62 = 657,195.43 : x
  2. Step 2: Convert to fraction form
    1,201,012/1,657,417.62 = 657,195.43/x
  3. Step 3: Cross multiply
    1,201,012x = 1,657,417.62 × 657,195.43
  4. Step 4: Simplify right side
    1,201,012x = 1,089,247,285,465.48
  5. Step 5: Solve for x
    x = 1,089,247,285,465.48/1,201,012
  6. Step 6: Final answer
    x = 906,941.22

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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.