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Finding the Fourth Proportional to 314,707.34, 434,290.62 and 171,468.42

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Solution

The fourth proportional to 314,707.34, 434,290.62 and 171,468.42 is: 236,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,707.34 : 434,290.62 = 171,468.42 : x
  2. Step 2: Convert to fraction form
    314,707.34/434,290.62 = 171,468.42/x
  3. Step 3: Cross multiply
    314,707.34x = 434,290.62 × 171,468.42
  4. Step 4: Simplify right side
    314,707.34x = 74,467,126,432.22
  5. Step 5: Solve for x
    x = 74,467,126,432.22/314,707.34
  6. Step 6: Final answer
    x = 236,623.42

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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.