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Finding the Fourth Proportional to 359,571.42, 538,843.14 and 264,052.44

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Solution

The fourth proportional to 359,571.42, 538,843.14 and 264,052.44 is: 395,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,571.42 : 538,843.14 = 264,052.44 : x
  2. Step 2: Convert to fraction form
    359,571.42/538,843.14 = 264,052.44/x
  3. Step 3: Cross multiply
    359,571.42x = 538,843.14 × 264,052.44
  4. Step 4: Simplify right side
    359,571.42x = 142,282,845,894.26
  5. Step 5: Solve for x
    x = 142,282,845,894.26/359,571.42
  6. Step 6: Final answer
    x = 395,701.21

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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.