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Finding the Fourth Proportional to 375,047, 517,569.72 and 205,277.48

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Solution

The fourth proportional to 375,047, 517,569.72 and 205,277.48 is: 283,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,047 : 517,569.72 = 205,277.48 : x
  2. Step 2: Convert to fraction form
    375,047/517,569.72 = 205,277.48/x
  3. Step 3: Cross multiply
    375,047x = 517,569.72 × 205,277.48
  4. Step 4: Simplify right side
    375,047x = 106,245,407,845.91
  5. Step 5: Solve for x
    x = 106,245,407,845.91/375,047
  6. Step 6: Final answer
    x = 283,285.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.