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Finding the Fourth Proportional to 359,310.23, 537,844.30 and 264,647.31

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Solution

The fourth proportional to 359,310.23, 537,844.30 and 264,647.31 is: 396,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,310.23 : 537,844.30 = 264,647.31 : x
  2. Step 2: Convert to fraction form
    359,310.23/537,844.30 = 264,647.31/x
  3. Step 3: Cross multiply
    359,310.23x = 537,844.30 × 264,647.31
  4. Step 4: Simplify right side
    359,310.23x = 142,339,047,193.83
  5. Step 5: Solve for x
    x = 142,339,047,193.83/359,310.23
  6. Step 6: Final answer
    x = 396,145.27

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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.