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Finding the Fourth Proportional to 374,876.64, 517,337.22 and 205,114.38

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Solution

The fourth proportional to 374,876.64, 517,337.22 and 205,114.38 is: 283,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,876.64 : 517,337.22 = 205,114.38 : x
  2. Step 2: Convert to fraction form
    374,876.64/517,337.22 = 205,114.38/x
  3. Step 3: Cross multiply
    374,876.64x = 517,337.22 × 205,114.38
  4. Step 4: Simplify right side
    374,876.64x = 106,113,303,131.22
  5. Step 5: Solve for x
    x = 106,113,303,131.22/374,876.64
  6. Step 6: Final answer
    x = 283,061.92

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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.