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Finding the Fourth Proportional to 315,949.72, 435,806.94 and 188,527

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Solution

The fourth proportional to 315,949.72, 435,806.94 and 188,527 is: 260,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,949.72 : 435,806.94 = 188,527 : x
  2. Step 2: Convert to fraction form
    315,949.72/435,806.94 = 188,527/x
  3. Step 3: Cross multiply
    315,949.72x = 435,806.94 × 188,527
  4. Step 4: Simplify right side
    315,949.72x = 82,161,374,977.38
  5. Step 5: Solve for x
    x = 82,161,374,977.38/315,949.72
  6. Step 6: Final answer
    x = 260,045.73

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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.