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Finding the Fourth Proportional to 469,814.92, 648,345 and 254,954.98

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Solution

The fourth proportional to 469,814.92, 648,345 and 254,954.98 is: 351,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,814.92 : 648,345 = 254,954.98 : x
  2. Step 2: Convert to fraction form
    469,814.92/648,345 = 254,954.98/x
  3. Step 3: Cross multiply
    469,814.92x = 648,345 × 254,954.98
  4. Step 4: Simplify right side
    469,814.92x = 165,298,786,508.10
  5. Step 5: Solve for x
    x = 165,298,786,508.10/469,814.92
  6. Step 6: Final answer
    x = 351,838.10

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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.