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Finding the Fourth Proportional to 369,737.46, 510,237.09 and 208,592.10

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Solution

The fourth proportional to 369,737.46, 510,237.09 and 208,592.10 is: 287,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,737.46 : 510,237.09 = 208,592.10 : x
  2. Step 2: Convert to fraction form
    369,737.46/510,237.09 = 208,592.10/x
  3. Step 3: Cross multiply
    369,737.46x = 510,237.09 × 208,592.10
  4. Step 4: Simplify right side
    369,737.46x = 106,431,426,100.99
  5. Step 5: Solve for x
    x = 106,431,426,100.99/369,737.46
  6. Step 6: Final answer
    x = 287,856.76

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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.