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Finding the Fourth Proportional to 294,705.68, 406,839.24 and 204,130.64

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Solution

The fourth proportional to 294,705.68, 406,839.24 and 204,130.64 is: 281,801.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,705.68 : 406,839.24 = 204,130.64 : x
  2. Step 2: Convert to fraction form
    294,705.68/406,839.24 = 204,130.64/x
  3. Step 3: Cross multiply
    294,705.68x = 406,839.24 × 204,130.64
  4. Step 4: Simplify right side
    294,705.68x = 83,048,354,438.31
  5. Step 5: Solve for x
    x = 83,048,354,438.31/294,705.68
  6. Step 6: Final answer
    x = 281,801.00

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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.