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Finding the Fourth Proportional to 369,738.46, 510,238.47 and 208,593.10

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Solution

The fourth proportional to 369,738.46, 510,238.47 and 208,593.10 is: 287,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,738.46 : 510,238.47 = 208,593.10 : x
  2. Step 2: Convert to fraction form
    369,738.46/510,238.47 = 208,593.10/x
  3. Step 3: Cross multiply
    369,738.46x = 510,238.47 × 208,593.10
  4. Step 4: Simplify right side
    369,738.46x = 106,432,224,196.56
  5. Step 5: Solve for x
    x = 106,432,224,196.56/369,738.46
  6. Step 6: Final answer
    x = 287,858.14

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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.