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Finding the Fourth Proportional to 315,096.40, 472,644.60 and 315,096.40

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Solution

The fourth proportional to 315,096.40, 472,644.60 and 315,096.40 is: 472,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,096.40 : 472,644.60 = 315,096.40 : x
  2. Step 2: Convert to fraction form
    315,096.40/472,644.60 = 315,096.40/x
  3. Step 3: Cross multiply
    315,096.40x = 472,644.60 × 315,096.40
  4. Step 4: Simplify right side
    315,096.40x = 148,928,611,939.44
  5. Step 5: Solve for x
    x = 148,928,611,939.44/315,096.40
  6. Step 6: Final answer
    x = 472,644.60

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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.