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Finding the Fourth Proportional to 475,433.92, 656,093.28 and 257,638.24

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Solution

The fourth proportional to 475,433.92, 656,093.28 and 257,638.24 is: 355,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,433.92 : 656,093.28 = 257,638.24 : x
  2. Step 2: Convert to fraction form
    475,433.92/656,093.28 = 257,638.24/x
  3. Step 3: Cross multiply
    475,433.92x = 656,093.28 × 257,638.24
  4. Step 4: Simplify right side
    475,433.92x = 169,034,717,935.03
  5. Step 5: Solve for x
    x = 169,034,717,935.03/475,433.92
  6. Step 6: Final answer
    x = 355,537.77

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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.