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Finding the Fourth Proportional to 360,002.60, 538,967.10 and 349,634.60

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Solution

The fourth proportional to 360,002.60, 538,967.10 and 349,634.60 is: 523,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,002.60 : 538,967.10 = 349,634.60 : x
  2. Step 2: Convert to fraction form
    360,002.60/538,967.10 = 349,634.60/x
  3. Step 3: Cross multiply
    360,002.60x = 538,967.10 × 349,634.60
  4. Step 4: Simplify right side
    360,002.60x = 188,441,546,421.66
  5. Step 5: Solve for x
    x = 188,441,546,421.66/360,002.60
  6. Step 6: Final answer
    x = 523,444.96

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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.