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Finding the Fourth Proportional to 393,726.30, 590,200.65 and 193,883.10

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Solution

The fourth proportional to 393,726.30, 590,200.65 and 193,883.10 is: 290,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,726.30 : 590,200.65 = 193,883.10 : x
  2. Step 2: Convert to fraction form
    393,726.30/590,200.65 = 193,883.10/x
  3. Step 3: Cross multiply
    393,726.30x = 590,200.65 × 193,883.10
  4. Step 4: Simplify right side
    393,726.30x = 114,429,931,644.02
  5. Step 5: Solve for x
    x = 114,429,931,644.02/393,726.30
  6. Step 6: Final answer
    x = 290,633.19

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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.