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Finding the Fourth Proportional to 385,398, 531,849.24 and 215,664.93

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Solution

The fourth proportional to 385,398, 531,849.24 and 215,664.93 is: 297,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,398 : 531,849.24 = 215,664.93 : x
  2. Step 2: Convert to fraction form
    385,398/531,849.24 = 215,664.93/x
  3. Step 3: Cross multiply
    385,398x = 531,849.24 × 215,664.93
  4. Step 4: Simplify right side
    385,398x = 114,701,229,115.15
  5. Step 5: Solve for x
    x = 114,701,229,115.15/385,398
  6. Step 6: Final answer
    x = 297,617.60

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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.