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Finding the Fourth Proportional to 415,342.90, 573,172.86 and 224,356.24

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Solution

The fourth proportional to 415,342.90, 573,172.86 and 224,356.24 is: 309,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,342.90 : 573,172.86 = 224,356.24 : x
  2. Step 2: Convert to fraction form
    415,342.90/573,172.86 = 224,356.24/x
  3. Step 3: Cross multiply
    415,342.90x = 573,172.86 × 224,356.24
  4. Step 4: Simplify right side
    415,342.90x = 128,594,907,739.65
  5. Step 5: Solve for x
    x = 128,594,907,739.65/415,342.90
  6. Step 6: Final answer
    x = 309,611.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.