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Finding the Fourth Proportional to 318,924.98, 478,146.93 and 192,535.19

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Solution

The fourth proportional to 318,924.98, 478,146.93 and 192,535.19 is: 288,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,924.98 : 478,146.93 = 192,535.19 : x
  2. Step 2: Convert to fraction form
    318,924.98/478,146.93 = 192,535.19/x
  3. Step 3: Cross multiply
    318,924.98x = 478,146.93 × 192,535.19
  4. Step 4: Simplify right side
    318,924.98x = 92,060,110,015.47
  5. Step 5: Solve for x
    x = 92,060,110,015.47/318,924.98
  6. Step 6: Final answer
    x = 288,657.57

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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.