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Finding the Fourth Proportional to 419,953.10, 629,929.65 and 314,977.10

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Solution

The fourth proportional to 419,953.10, 629,929.65 and 314,977.10 is: 472,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,953.10 : 629,929.65 = 314,977.10 : x
  2. Step 2: Convert to fraction form
    419,953.10/629,929.65 = 314,977.10/x
  3. Step 3: Cross multiply
    419,953.10x = 629,929.65 × 314,977.10
  4. Step 4: Simplify right side
    419,953.10x = 198,413,414,361.02
  5. Step 5: Solve for x
    x = 198,413,414,361.02/419,953.10
  6. Step 6: Final answer
    x = 472,465.65

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Similar ratio
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1.5x scale

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.