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Finding the Fourth Proportional to 308,815.60, 463,223.40 and 214,337.20

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Solution

The fourth proportional to 308,815.60, 463,223.40 and 214,337.20 is: 321,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,815.60 : 463,223.40 = 214,337.20 : x
  2. Step 2: Convert to fraction form
    308,815.60/463,223.40 = 214,337.20/x
  3. Step 3: Cross multiply
    308,815.60x = 463,223.40 × 214,337.20
  4. Step 4: Simplify right side
    308,815.60x = 99,286,006,530.48
  5. Step 5: Solve for x
    x = 99,286,006,530.48/308,815.60
  6. Step 6: Final answer
    x = 321,505.80

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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.