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Finding the Fourth Proportional to 1,407,494.26, 1,942,294.71 and 834,194.08

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Solution

The fourth proportional to 1,407,494.26, 1,942,294.71 and 834,194.08 is: 1,151,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,494.26 : 1,942,294.71 = 834,194.08 : x
  2. Step 2: Convert to fraction form
    1,407,494.26/1,942,294.71 = 834,194.08/x
  3. Step 3: Cross multiply
    1,407,494.26x = 1,942,294.71 × 834,194.08
  4. Step 4: Simplify right side
    1,407,494.26x = 1,620,250,748,697.32
  5. Step 5: Solve for x
    x = 1,620,250,748,697.32/1,407,494.26
  6. Step 6: Final answer
    x = 1,151,159.76

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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.