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Finding the Fourth Proportional to 294,970.16, 406,827.57 and 201,891.06

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Solution

The fourth proportional to 294,970.16, 406,827.57 and 201,891.06 is: 278,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,970.16 : 406,827.57 = 201,891.06 : x
  2. Step 2: Convert to fraction form
    294,970.16/406,827.57 = 201,891.06/x
  3. Step 3: Cross multiply
    294,970.16x = 406,827.57 × 201,891.06
  4. Step 4: Simplify right side
    294,970.16x = 82,134,848,587.43
  5. Step 5: Solve for x
    x = 82,134,848,587.43/294,970.16
  6. Step 6: Final answer
    x = 278,451.38

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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.