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Finding the Fourth Proportional to 430,593, 594,218.34 and 242,177

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Solution

The fourth proportional to 430,593, 594,218.34 and 242,177 is: 334,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,593 : 594,218.34 = 242,177 : x
  2. Step 2: Convert to fraction form
    430,593/594,218.34 = 242,177/x
  3. Step 3: Cross multiply
    430,593x = 594,218.34 × 242,177
  4. Step 4: Simplify right side
    430,593x = 143,906,014,926.18
  5. Step 5: Solve for x
    x = 143,906,014,926.18/430,593
  6. Step 6: Final answer
    x = 334,204.26

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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.