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Finding the Fourth Proportional to 385,581.16, 532,096.50 and 213,482.62

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Solution

The fourth proportional to 385,581.16, 532,096.50 and 213,482.62 is: 294,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,581.16 : 532,096.50 = 213,482.62 : x
  2. Step 2: Convert to fraction form
    385,581.16/532,096.50 = 213,482.62/x
  3. Step 3: Cross multiply
    385,581.16x = 532,096.50 × 213,482.62
  4. Step 4: Simplify right side
    385,581.16x = 113,593,354,912.83
  5. Step 5: Solve for x
    x = 113,593,354,912.83/385,581.16
  6. Step 6: Final answer
    x = 294,602.97

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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.