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Finding the Fourth Proportional to 415,347.90, 573,179.76 and 224,361.24

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Solution

The fourth proportional to 415,347.90, 573,179.76 and 224,361.24 is: 309,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,347.90 : 573,179.76 = 224,361.24 : x
  2. Step 2: Convert to fraction form
    415,347.90/573,179.76 = 224,361.24/x
  3. Step 3: Cross multiply
    415,347.90x = 573,179.76 × 224,361.24
  4. Step 4: Simplify right side
    415,347.90x = 128,599,321,696.50
  5. Step 5: Solve for x
    x = 128,599,321,696.50/415,347.90
  6. Step 6: Final answer
    x = 309,618.33

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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.