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Finding the Fourth Proportional to 374,806.90, 517,237.60 and 205,037.38

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Solution

The fourth proportional to 374,806.90, 517,237.60 and 205,037.38 is: 282,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,806.90 : 517,237.60 = 205,037.38 : x
  2. Step 2: Convert to fraction form
    374,806.90/517,237.60 = 205,037.38/x
  3. Step 3: Cross multiply
    374,806.90x = 517,237.60 × 205,037.38
  4. Step 4: Simplify right side
    374,806.90x = 106,053,042,341.49
  5. Step 5: Solve for x
    x = 106,053,042,341.49/374,806.90
  6. Step 6: Final answer
    x = 282,953.82

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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.