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Finding the Fourth Proportional to 475,474.46, 712,949.24 and 195,188.54

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Solution

The fourth proportional to 475,474.46, 712,949.24 and 195,188.54 is: 292,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,474.46 : 712,949.24 = 195,188.54 : x
  2. Step 2: Convert to fraction form
    475,474.46/712,949.24 = 195,188.54/x
  3. Step 3: Cross multiply
    475,474.46x = 712,949.24 × 195,188.54
  4. Step 4: Simplify right side
    475,474.46x = 139,159,518,172.94
  5. Step 5: Solve for x
    x = 139,159,518,172.94/475,474.46
  6. Step 6: Final answer
    x = 292,675.07

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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.