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Finding the Fourth Proportional to 314,945.34, 434,625.93 and 201,833.70

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Solution

The fourth proportional to 314,945.34, 434,625.93 and 201,833.70 is: 278,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,945.34 : 434,625.93 = 201,833.70 : x
  2. Step 2: Convert to fraction form
    314,945.34/434,625.93 = 201,833.70/x
  3. Step 3: Cross multiply
    314,945.34x = 434,625.93 × 201,833.70
  4. Step 4: Simplify right side
    314,945.34x = 87,722,159,567.84
  5. Step 5: Solve for x
    x = 87,722,159,567.84/314,945.34
  6. Step 6: Final answer
    x = 278,531.38

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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.