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Finding the Fourth Proportional to 432,906.90, 597,024.72 and 271,776.93

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Solution

The fourth proportional to 432,906.90, 597,024.72 and 271,776.93 is: 374,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,906.90 : 597,024.72 = 271,776.93 : x
  2. Step 2: Convert to fraction form
    432,906.90/597,024.72 = 271,776.93/x
  3. Step 3: Cross multiply
    432,906.90x = 597,024.72 × 271,776.93
  4. Step 4: Simplify right side
    432,906.90x = 162,257,545,535.71
  5. Step 5: Solve for x
    x = 162,257,545,535.71/432,906.90
  6. Step 6: Final answer
    x = 374,809.33

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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.