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Finding the Fourth Proportional to 382,464.66, 527,247.93 and 253,186.53

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Solution

The fourth proportional to 382,464.66, 527,247.93 and 253,186.53 is: 349,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,464.66 : 527,247.93 = 253,186.53 : x
  2. Step 2: Convert to fraction form
    382,464.66/527,247.93 = 253,186.53/x
  3. Step 3: Cross multiply
    382,464.66x = 527,247.93 × 253,186.53
  4. Step 4: Simplify right side
    382,464.66x = 133,492,073,846.38
  5. Step 5: Solve for x
    x = 133,492,073,846.38/382,464.66
  6. Step 6: Final answer
    x = 349,031.13

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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.