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Finding the Fourth Proportional to 314,776.72, 434,380.84 and 171,533.84

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Solution

The fourth proportional to 314,776.72, 434,380.84 and 171,533.84 is: 236,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,776.72 : 434,380.84 = 171,533.84 : x
  2. Step 2: Convert to fraction form
    314,776.72/434,380.84 = 171,533.84/x
  3. Step 3: Cross multiply
    314,776.72x = 434,380.84 × 171,533.84
  4. Step 4: Simplify right side
    314,776.72x = 74,511,013,507.63
  5. Step 5: Solve for x
    x = 74,511,013,507.63/314,776.72
  6. Step 6: Final answer
    x = 236,710.69

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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.