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Finding the Fourth Proportional to 301,725.17, 416,464.54 and 172,735.91

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Solution

The fourth proportional to 301,725.17, 416,464.54 and 172,735.91 is: 238,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,725.17 : 416,464.54 = 172,735.91 : x
  2. Step 2: Convert to fraction form
    301,725.17/416,464.54 = 172,735.91/x
  3. Step 3: Cross multiply
    301,725.17x = 416,464.54 × 172,735.91
  4. Step 4: Simplify right side
    301,725.17x = 71,938,380,347.21
  5. Step 5: Solve for x
    x = 71,938,380,347.21/301,725.17
  6. Step 6: Final answer
    x = 238,423.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.