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Finding the Fourth Proportional to 634,568.64, 952,143.62 and 274,849.50

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Solution

The fourth proportional to 634,568.64, 952,143.62 and 274,849.50 is: 412,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,568.64 : 952,143.62 = 274,849.50 : x
  2. Step 2: Convert to fraction form
    634,568.64/952,143.62 = 274,849.50/x
  3. Step 3: Cross multiply
    634,568.64x = 952,143.62 × 274,849.50
  4. Step 4: Simplify right side
    634,568.64x = 261,696,196,510.94
  5. Step 5: Solve for x
    x = 261,696,196,510.94/634,568.64
  6. Step 6: Final answer
    x = 412,400.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.