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Finding the Fourth Proportional to 864,993, 1,193,685.60 and 477,835.08

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Solution

The fourth proportional to 864,993, 1,193,685.60 and 477,835.08 is: 659,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,993 : 1,193,685.60 = 477,835.08 : x
  2. Step 2: Convert to fraction form
    864,993/1,193,685.60 = 477,835.08/x
  3. Step 3: Cross multiply
    864,993x = 1,193,685.60 × 477,835.08
  4. Step 4: Simplify right side
    864,993x = 570,384,854,170.85
  5. Step 5: Solve for x
    x = 570,384,854,170.85/864,993
  6. Step 6: Final answer
    x = 659,409.79

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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.