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Finding the Fourth Proportional to 314,714.68, 434,300.79 and 171,475.90

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Solution

The fourth proportional to 314,714.68, 434,300.79 and 171,475.90 is: 236,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,714.68 : 434,300.79 = 171,475.90 : x
  2. Step 2: Convert to fraction form
    314,714.68/434,300.79 = 171,475.90/x
  3. Step 3: Cross multiply
    314,714.68x = 434,300.79 × 171,475.90
  4. Step 4: Simplify right side
    314,714.68x = 74,472,118,835.96
  5. Step 5: Solve for x
    x = 74,472,118,835.96/314,714.68
  6. Step 6: Final answer
    x = 236,633.76

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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.