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Finding the Fourth Proportional to 1,406,748.87, 1,941,314.54 and 825,858.27

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Solution

The fourth proportional to 1,406,748.87, 1,941,314.54 and 825,858.27 is: 1,139,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,748.87 : 1,941,314.54 = 825,858.27 : x
  2. Step 2: Convert to fraction form
    1,406,748.87/1,941,314.54 = 825,858.27/x
  3. Step 3: Cross multiply
    1,406,748.87x = 1,941,314.54 × 825,858.27
  4. Step 4: Simplify right side
    1,406,748.87x = 1,603,250,663,400.95
  5. Step 5: Solve for x
    x = 1,603,250,663,400.95/1,406,748.87
  6. Step 6: Final answer
    x = 1,139,685.06

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Why These Related Problems?

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