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Finding the Fourth Proportional to 384,895.79, 531,134.72 and 212,803.80

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Solution

The fourth proportional to 384,895.79, 531,134.72 and 212,803.80 is: 293,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,895.79 : 531,134.72 = 212,803.80 : x
  2. Step 2: Convert to fraction form
    384,895.79/531,134.72 = 212,803.80/x
  3. Step 3: Cross multiply
    384,895.79x = 531,134.72 × 212,803.80
  4. Step 4: Simplify right side
    384,895.79x = 113,027,487,259.95
  5. Step 5: Solve for x
    x = 113,027,487,259.95/384,895.79
  6. Step 6: Final answer
    x = 293,657.38

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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.