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Finding the Fourth Proportional to 399,427.76, 599,326.86 and 174,758.57

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Solution

The fourth proportional to 399,427.76, 599,326.86 and 174,758.57 is: 262,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,427.76 : 599,326.86 = 174,758.57 : x
  2. Step 2: Convert to fraction form
    399,427.76/599,326.86 = 174,758.57/x
  3. Step 3: Cross multiply
    399,427.76x = 599,326.86 × 174,758.57
  4. Step 4: Simplify right side
    399,427.76x = 104,737,502,019.56
  5. Step 5: Solve for x
    x = 104,737,502,019.56/399,427.76
  6. Step 6: Final answer
    x = 262,218.89

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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.