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Finding the Fourth Proportional to 645,046.80, 967,858.20 and 224,624.40

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Solution

The fourth proportional to 645,046.80, 967,858.20 and 224,624.40 is: 337,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,046.80 : 967,858.20 = 224,624.40 : x
  2. Step 2: Convert to fraction form
    645,046.80/967,858.20 = 224,624.40/x
  3. Step 3: Cross multiply
    645,046.80x = 967,858.20 × 224,624.40
  4. Step 4: Simplify right side
    645,046.80x = 217,404,567,460.08
  5. Step 5: Solve for x
    x = 217,404,567,460.08/645,046.80
  6. Step 6: Final answer
    x = 337,036.89

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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.