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Finding the Fourth Proportional to 415,234.71, 573,021.29 and 234,004.82

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Solution

The fourth proportional to 415,234.71, 573,021.29 and 234,004.82 is: 322,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,234.71 : 573,021.29 = 234,004.82 : x
  2. Step 2: Convert to fraction form
    415,234.71/573,021.29 = 234,004.82/x
  3. Step 3: Cross multiply
    415,234.71x = 573,021.29 × 234,004.82
  4. Step 4: Simplify right side
    415,234.71x = 134,089,741,542.52
  5. Step 5: Solve for x
    x = 134,089,741,542.52/415,234.71
  6. Step 6: Final answer
    x = 322,925.18

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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.