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Finding the Fourth Proportional to 415,679.93, 573,638.05 and 224,693.32

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Solution

The fourth proportional to 415,679.93, 573,638.05 and 224,693.32 is: 310,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,679.93 : 573,638.05 = 224,693.32 : x
  2. Step 2: Convert to fraction form
    415,679.93/573,638.05 = 224,693.32/x
  3. Step 3: Cross multiply
    415,679.93x = 573,638.05 × 224,693.32
  4. Step 4: Simplify right side
    415,679.93x = 128,892,637,932.83
  5. Step 5: Solve for x
    x = 128,892,637,932.83/415,679.93
  6. Step 6: Final answer
    x = 310,076.64

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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.