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Finding the Fourth Proportional to 434,429.64, 599,504.42 and 238,193.78

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Solution

The fourth proportional to 434,429.64, 599,504.42 and 238,193.78 is: 328,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,429.64 : 599,504.42 = 238,193.78 : x
  2. Step 2: Convert to fraction form
    434,429.64/599,504.42 = 238,193.78/x
  3. Step 3: Cross multiply
    434,429.64x = 599,504.42 × 238,193.78
  4. Step 4: Simplify right side
    434,429.64x = 142,798,221,524.47
  5. Step 5: Solve for x
    x = 142,798,221,524.47/434,429.64
  6. Step 6: Final answer
    x = 328,702.76

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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.