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Finding the Fourth Proportional to 415,821.31, 573,830.62 and 234,534.75

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Solution

The fourth proportional to 415,821.31, 573,830.62 and 234,534.75 is: 323,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,821.31 : 573,830.62 = 234,534.75 : x
  2. Step 2: Convert to fraction form
    415,821.31/573,830.62 = 234,534.75/x
  3. Step 3: Cross multiply
    415,821.31x = 573,830.62 × 234,534.75
  4. Step 4: Simplify right side
    415,821.31x = 134,583,221,004.05
  5. Step 5: Solve for x
    x = 134,583,221,004.05/415,821.31
  6. Step 6: Final answer
    x = 323,656.38

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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.