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Finding the Fourth Proportional to 378,733.40, 522,841.47 and 235,539.58

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Solution

The fourth proportional to 378,733.40, 522,841.47 and 235,539.58 is: 325,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,733.40 : 522,841.47 = 235,539.58 : x
  2. Step 2: Convert to fraction form
    378,733.40/522,841.47 = 235,539.58/x
  3. Step 3: Cross multiply
    378,733.40x = 522,841.47 × 235,539.58
  4. Step 4: Simplify right side
    378,733.40x = 123,149,860,250.38
  5. Step 5: Solve for x
    x = 123,149,860,250.38/378,733.40
  6. Step 6: Final answer
    x = 325,162.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.