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Finding the Fourth Proportional to 756,430.86, 1,043,843.84 and 412,259.48

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Solution

The fourth proportional to 756,430.86, 1,043,843.84 and 412,259.48 is: 568,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,430.86 : 1,043,843.84 = 412,259.48 : x
  2. Step 2: Convert to fraction form
    756,430.86/1,043,843.84 = 412,259.48/x
  3. Step 3: Cross multiply
    756,430.86x = 1,043,843.84 × 412,259.48
  4. Step 4: Simplify right side
    756,430.86x = 430,334,518,679.60
  5. Step 5: Solve for x
    x = 430,334,518,679.60/756,430.86
  6. Step 6: Final answer
    x = 568,901.33

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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.