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Finding the Fourth Proportional to 374,814.86, 517,256.96 and 205,048.98

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Solution

The fourth proportional to 374,814.86, 517,256.96 and 205,048.98 is: 282,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,814.86 : 517,256.96 = 205,048.98 : x
  2. Step 2: Convert to fraction form
    374,814.86/517,256.96 = 205,048.98/x
  3. Step 3: Cross multiply
    374,814.86x = 517,256.96 × 205,048.98
  4. Step 4: Simplify right side
    374,814.86x = 106,063,011,020.66
  5. Step 5: Solve for x
    x = 106,063,011,020.66/374,814.86
  6. Step 6: Final answer
    x = 282,974.41

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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.