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Finding the Fourth Proportional to 374,851.30, 517,307.13 and 205,081.54

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Solution

The fourth proportional to 374,851.30, 517,307.13 and 205,081.54 is: 283,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,851.30 : 517,307.13 = 205,081.54 : x
  2. Step 2: Convert to fraction form
    374,851.30/517,307.13 = 205,081.54/x
  3. Step 3: Cross multiply
    374,851.30x = 517,307.13 × 205,081.54
  4. Step 4: Simplify right side
    374,851.30x = 106,090,142,873.38
  5. Step 5: Solve for x
    x = 106,090,142,873.38/374,851.30
  6. Step 6: Final answer
    x = 283,019.27

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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.