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Finding the Fourth Proportional to 377,906.50, 521,510.97 and 208,140.63

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Solution

The fourth proportional to 377,906.50, 521,510.97 and 208,140.63 is: 287,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,906.50 : 521,510.97 = 208,140.63 : x
  2. Step 2: Convert to fraction form
    377,906.50/521,510.97 = 208,140.63/x
  3. Step 3: Cross multiply
    377,906.50x = 521,510.97 × 208,140.63
  4. Step 4: Simplify right side
    377,906.50x = 108,547,621,847.71
  5. Step 5: Solve for x
    x = 108,547,621,847.71/377,906.50
  6. Step 6: Final answer
    x = 287,234.07

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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.