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Finding the Fourth Proportional to 314,774.69, 434,388.41 and 171,534.39

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Solution

The fourth proportional to 314,774.69, 434,388.41 and 171,534.39 is: 236,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,774.69 : 434,388.41 = 171,534.39 : x
  2. Step 2: Convert to fraction form
    314,774.69/434,388.41 = 171,534.39/x
  3. Step 3: Cross multiply
    314,774.69x = 434,388.41 × 171,534.39
  4. Step 4: Simplify right side
    314,774.69x = 74,512,550,932.42
  5. Step 5: Solve for x
    x = 74,512,550,932.42/314,774.69
  6. Step 6: Final answer
    x = 236,717.10

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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.