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Finding the Fourth Proportional to 536,114.88, 739,809.36 and 294,429.12

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Solution

The fourth proportional to 536,114.88, 739,809.36 and 294,429.12 is: 406,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,114.88 : 739,809.36 = 294,429.12 : x
  2. Step 2: Convert to fraction form
    536,114.88/739,809.36 = 294,429.12/x
  3. Step 3: Cross multiply
    536,114.88x = 739,809.36 × 294,429.12
  4. Step 4: Simplify right side
    536,114.88x = 217,821,418,832.56
  5. Step 5: Solve for x
    x = 217,821,418,832.56/536,114.88
  6. Step 6: Final answer
    x = 406,296.16

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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.