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Finding the Fourth Proportional to 359,309.23, 537,842.80 and 264,646.31

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Solution

The fourth proportional to 359,309.23, 537,842.80 and 264,646.31 is: 396,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,309.23 : 537,842.80 = 264,646.31 : x
  2. Step 2: Convert to fraction form
    359,309.23/537,842.80 = 264,646.31/x
  3. Step 3: Cross multiply
    359,309.23x = 537,842.80 × 264,646.31
  4. Step 4: Simplify right side
    359,309.23x = 142,338,110,021.66
  5. Step 5: Solve for x
    x = 142,338,110,021.66/359,309.23
  6. Step 6: Final answer
    x = 396,143.76

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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.