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Finding the Fourth Proportional to 645,167.84, 967,773.52 and 224,447.20

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Solution

The fourth proportional to 645,167.84, 967,773.52 and 224,447.20 is: 336,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,167.84 : 967,773.52 = 224,447.20 : x
  2. Step 2: Convert to fraction form
    645,167.84/967,773.52 = 224,447.20/x
  3. Step 3: Cross multiply
    645,167.84x = 967,773.52 × 224,447.20
  4. Step 4: Simplify right side
    645,167.84x = 217,214,056,798.14
  5. Step 5: Solve for x
    x = 217,214,056,798.14/645,167.84
  6. Step 6: Final answer
    x = 336,678.37

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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.