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Finding the Fourth Proportional to 314,714.43, 434,300.45 and 171,475.65

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Solution

The fourth proportional to 314,714.43, 434,300.45 and 171,475.65 is: 236,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,714.43 : 434,300.45 = 171,475.65 : x
  2. Step 2: Convert to fraction form
    314,714.43/434,300.45 = 171,475.65/x
  3. Step 3: Cross multiply
    314,714.43x = 434,300.45 × 171,475.65
  4. Step 4: Simplify right side
    314,714.43x = 74,471,951,101.66
  5. Step 5: Solve for x
    x = 74,471,951,101.66/314,714.43
  6. Step 6: Final answer
    x = 236,633.42

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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.