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Finding the Fourth Proportional to 862,643.80, 1,292,993.70 and 413,579.80

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Solution

The fourth proportional to 862,643.80, 1,292,993.70 and 413,579.80 is: 619,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,643.80 : 1,292,993.70 = 413,579.80 : x
  2. Step 2: Convert to fraction form
    862,643.80/1,292,993.70 = 413,579.80/x
  3. Step 3: Cross multiply
    862,643.80x = 1,292,993.70 × 413,579.80
  4. Step 4: Simplify right side
    862,643.80x = 534,756,075,847.26
  5. Step 5: Solve for x
    x = 534,756,075,847.26/862,643.80
  6. Step 6: Final answer
    x = 619,903.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.