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Finding the Fourth Proportional to 314,597.31, 434,150.95 and 171,357.01

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Solution

The fourth proportional to 314,597.31, 434,150.95 and 171,357.01 is: 236,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,597.31 : 434,150.95 = 171,357.01 : x
  2. Step 2: Convert to fraction form
    314,597.31/434,150.95 = 171,357.01/x
  3. Step 3: Cross multiply
    314,597.31x = 434,150.95 × 171,357.01
  4. Step 4: Simplify right side
    314,597.31x = 74,394,808,680.66
  5. Step 5: Solve for x
    x = 74,394,808,680.66/314,597.31
  6. Step 6: Final answer
    x = 236,476.30

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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.