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Finding the Fourth Proportional to 393,729.30, 590,205.15 and 193,886.10

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Solution

The fourth proportional to 393,729.30, 590,205.15 and 193,886.10 is: 290,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,729.30 : 590,205.15 = 193,886.10 : x
  2. Step 2: Convert to fraction form
    393,729.30/590,205.15 = 193,886.10/x
  3. Step 3: Cross multiply
    393,729.30x = 590,205.15 × 193,886.10
  4. Step 4: Simplify right side
    393,729.30x = 114,432,574,733.42
  5. Step 5: Solve for x
    x = 114,432,574,733.42/393,729.30
  6. Step 6: Final answer
    x = 290,637.69

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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.