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Finding the Fourth Proportional to 431,096.40, 646,644.60 and 331,448.40

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Solution

The fourth proportional to 431,096.40, 646,644.60 and 331,448.40 is: 497,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,096.40 : 646,644.60 = 331,448.40 : x
  2. Step 2: Convert to fraction form
    431,096.40/646,644.60 = 331,448.40/x
  3. Step 3: Cross multiply
    431,096.40x = 646,644.60 × 331,448.40
  4. Step 4: Simplify right side
    431,096.40x = 214,329,318,038.64
  5. Step 5: Solve for x
    x = 214,329,318,038.64/431,096.40
  6. Step 6: Final answer
    x = 497,172.60

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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.