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Finding the Fourth Proportional to 475,977.87, 714,153.51 and 209,551.46

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Solution

The fourth proportional to 475,977.87, 714,153.51 and 209,551.46 is: 314,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,977.87 : 714,153.51 = 209,551.46 : x
  2. Step 2: Convert to fraction form
    475,977.87/714,153.51 = 209,551.46/x
  3. Step 3: Cross multiply
    475,977.87x = 714,153.51 × 209,551.46
  4. Step 4: Simplify right side
    475,977.87x = 149,651,907,113.86
  5. Step 5: Solve for x
    x = 149,651,907,113.86/475,977.87
  6. Step 6: Final answer
    x = 314,409.38

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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.