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Finding the Fourth Proportional to 415,880.82, 573,915.56 and 224,894.21

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Solution

The fourth proportional to 415,880.82, 573,915.56 and 224,894.21 is: 310,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,880.82 : 573,915.56 = 224,894.21 : x
  2. Step 2: Convert to fraction form
    415,880.82/573,915.56 = 224,894.21/x
  3. Step 3: Cross multiply
    415,880.82x = 573,915.56 × 224,894.21
  4. Step 4: Simplify right side
    415,880.82x = 129,070,287,113.87
  5. Step 5: Solve for x
    x = 129,070,287,113.87/415,880.82
  6. Step 6: Final answer
    x = 310,354.03

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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.