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Finding the Fourth Proportional to 415,680.16, 573,638.37 and 224,693.55

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Solution

The fourth proportional to 415,680.16, 573,638.37 and 224,693.55 is: 310,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,680.16 : 573,638.37 = 224,693.55 : x
  2. Step 2: Convert to fraction form
    415,680.16/573,638.37 = 224,693.55/x
  3. Step 3: Cross multiply
    415,680.16x = 573,638.37 × 224,693.55
  4. Step 4: Simplify right side
    415,680.16x = 128,892,841,771.51
  5. Step 5: Solve for x
    x = 128,892,841,771.51/415,680.16
  6. Step 6: Final answer
    x = 310,076.96

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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.