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Finding the Fourth Proportional to 359,574.42, 538,847.64 and 264,055.44

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Solution

The fourth proportional to 359,574.42, 538,847.64 and 264,055.44 is: 395,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,574.42 : 538,847.64 = 264,055.44 : x
  2. Step 2: Convert to fraction form
    359,574.42/538,847.64 = 264,055.44/x
  3. Step 3: Cross multiply
    359,574.42x = 538,847.64 × 264,055.44
  4. Step 4: Simplify right side
    359,574.42x = 142,285,650,673.16
  5. Step 5: Solve for x
    x = 142,285,650,673.16/359,574.42
  6. Step 6: Final answer
    x = 395,705.71

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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.