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Finding the Fourth Proportional to 359,749.49, 539,109.32 and 264,230.46

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Solution

The fourth proportional to 359,749.49, 539,109.32 and 264,230.46 is: 395,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,749.49 : 539,109.32 = 264,230.46 : x
  2. Step 2: Convert to fraction form
    359,749.49/539,109.32 = 264,230.46/x
  3. Step 3: Cross multiply
    359,749.49x = 539,109.32 × 264,230.46
  4. Step 4: Simplify right side
    359,749.49x = 142,449,102,292.74
  5. Step 5: Solve for x
    x = 142,449,102,292.74/359,749.49
  6. Step 6: Final answer
    x = 395,967.49

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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.