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Finding the Fourth Proportional to 314,383.58, 433,849.40 and 171,143.58

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Solution

The fourth proportional to 314,383.58, 433,849.40 and 171,143.58 is: 236,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,383.58 : 433,849.40 = 171,143.58 : x
  2. Step 2: Convert to fraction form
    314,383.58/433,849.40 = 171,143.58/x
  3. Step 3: Cross multiply
    314,383.58x = 433,849.40 × 171,143.58
  4. Step 4: Simplify right side
    314,383.58x = 74,250,540,909.86
  5. Step 5: Solve for x
    x = 74,250,540,909.86/314,383.58
  6. Step 6: Final answer
    x = 236,178.18

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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.