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Finding the Fourth Proportional to 314,538.14, 434,059.61 and 171,300.57

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Solution

The fourth proportional to 314,538.14, 434,059.61 and 171,300.57 is: 236,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,538.14 : 434,059.61 = 171,300.57 : x
  2. Step 2: Convert to fraction form
    314,538.14/434,059.61 = 171,300.57/x
  3. Step 3: Cross multiply
    314,538.14x = 434,059.61 × 171,300.57
  4. Step 4: Simplify right side
    314,538.14x = 74,354,657,750.47
  5. Step 5: Solve for x
    x = 74,354,657,750.47/314,538.14
  6. Step 6: Final answer
    x = 236,393.14

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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.