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Finding the Fourth Proportional to 432,462.36, 596,735.46 and 262,663.68

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Solution

The fourth proportional to 432,462.36, 596,735.46 and 262,663.68 is: 362,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,462.36 : 596,735.46 = 262,663.68 : x
  2. Step 2: Convert to fraction form
    432,462.36/596,735.46 = 262,663.68/x
  3. Step 3: Cross multiply
    432,462.36x = 596,735.46 × 262,663.68
  4. Step 4: Simplify right side
    432,462.36x = 156,740,731,910.09
  5. Step 5: Solve for x
    x = 156,740,731,910.09/432,462.36
  6. Step 6: Final answer
    x = 362,437.86

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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.