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Finding the Fourth Proportional to 314,598.52, 434,146.56 and 171,358.12

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Solution

The fourth proportional to 314,598.52, 434,146.56 and 171,358.12 is: 236,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,598.52 : 434,146.56 = 171,358.12 : x
  2. Step 2: Convert to fraction form
    314,598.52/434,146.56 = 171,358.12/x
  3. Step 3: Cross multiply
    314,598.52x = 434,146.56 × 171,358.12
  4. Step 4: Simplify right side
    314,598.52x = 74,394,538,326.07
  5. Step 5: Solve for x
    x = 74,394,538,326.07/314,598.52
  6. Step 6: Final answer
    x = 236,474.53

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1.5x scale

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.