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Finding the Fourth Proportional to 415,402.68, 573,256.26 and 224,416.11

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Solution

The fourth proportional to 415,402.68, 573,256.26 and 224,416.11 is: 309,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,402.68 : 573,256.26 = 224,416.11 : x
  2. Step 2: Convert to fraction form
    415,402.68/573,256.26 = 224,416.11/x
  3. Step 3: Cross multiply
    415,402.68x = 573,256.26 × 224,416.11
  4. Step 4: Simplify right side
    415,402.68x = 128,647,939,902.35
  5. Step 5: Solve for x
    x = 128,647,939,902.35/415,402.68
  6. Step 6: Final answer
    x = 309,694.54

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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.