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Finding the Fourth Proportional to 394,745.60, 592,117.68 and 114,262.40

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Solution

The fourth proportional to 394,745.60, 592,117.68 and 114,262.40 is: 171,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,745.60 : 592,117.68 = 114,262.40 : x
  2. Step 2: Convert to fraction form
    394,745.60/592,117.68 = 114,262.40/x
  3. Step 3: Cross multiply
    394,745.60x = 592,117.68 × 114,262.40
  4. Step 4: Simplify right side
    394,745.60x = 67,656,787,199.23
  5. Step 5: Solve for x
    x = 67,656,787,199.23/394,745.60
  6. Step 6: Final answer
    x = 171,393.39

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Why These Related Problems?

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