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Finding the Fourth Proportional to 433,855.98, 598,688.01 and 242,843.40

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Solution

The fourth proportional to 433,855.98, 598,688.01 and 242,843.40 is: 335,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,855.98 : 598,688.01 = 242,843.40 : x
  2. Step 2: Convert to fraction form
    433,855.98/598,688.01 = 242,843.40/x
  3. Step 3: Cross multiply
    433,855.98x = 598,688.01 × 242,843.40
  4. Step 4: Simplify right side
    433,855.98x = 145,387,431,887.63
  5. Step 5: Solve for x
    x = 145,387,431,887.63/433,855.98
  6. Step 6: Final answer
    x = 335,105.29

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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.