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Finding the Fourth Proportional to 415,371.40, 573,212.16 and 224,384.74

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Solution

The fourth proportional to 415,371.40, 573,212.16 and 224,384.74 is: 309,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,371.40 : 573,212.16 = 224,384.74 : x
  2. Step 2: Convert to fraction form
    415,371.40/573,212.16 = 224,384.74/x
  3. Step 3: Cross multiply
    415,371.40x = 573,212.16 × 224,384.74
  4. Step 4: Simplify right side
    415,371.40x = 128,620,061,486.44
  5. Step 5: Solve for x
    x = 128,620,061,486.44/415,371.40
  6. Step 6: Final answer
    x = 309,650.74

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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.