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Finding the Fourth Proportional to 538,458.34, 807,531.97 and 183,464.50

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Solution

The fourth proportional to 538,458.34, 807,531.97 and 183,464.50 is: 275,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,458.34 : 807,531.97 = 183,464.50 : x
  2. Step 2: Convert to fraction form
    538,458.34/807,531.97 = 183,464.50/x
  3. Step 3: Cross multiply
    538,458.34x = 807,531.97 × 183,464.50
  4. Step 4: Simplify right side
    538,458.34x = 148,153,449,110.07
  5. Step 5: Solve for x
    x = 148,153,449,110.07/538,458.34
  6. Step 6: Final answer
    x = 275,143.75

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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.