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Finding the Fourth Proportional to 393,666.30, 590,499.45 and 233,999.10

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Solution

The fourth proportional to 393,666.30, 590,499.45 and 233,999.10 is: 350,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,666.30 : 590,499.45 = 233,999.10 : x
  2. Step 2: Convert to fraction form
    393,666.30/590,499.45 = 233,999.10/x
  3. Step 3: Cross multiply
    393,666.30x = 590,499.45 × 233,999.10
  4. Step 4: Simplify right side
    393,666.30x = 138,176,339,850.50
  5. Step 5: Solve for x
    x = 138,176,339,850.50/393,666.30
  6. Step 6: Final answer
    x = 350,998.65

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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.