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Finding the Fourth Proportional to 432,558, 596,889 and 251,264.97

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Solution

The fourth proportional to 432,558, 596,889 and 251,264.97 is: 346,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,558 : 596,889 = 251,264.97 : x
  2. Step 2: Convert to fraction form
    432,558/596,889 = 251,264.97/x
  3. Step 3: Cross multiply
    432,558x = 596,889 × 251,264.97
  4. Step 4: Simplify right side
    432,558x = 149,977,296,678.33
  5. Step 5: Solve for x
    x = 149,977,296,678.33/432,558
  6. Step 6: Final answer
    x = 346,721.82

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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.