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Finding the Fourth Proportional to 300,530.86, 414,714.13 and 164,566.35

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Solution

The fourth proportional to 300,530.86, 414,714.13 and 164,566.35 is: 227,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,530.86 : 414,714.13 = 164,566.35 : x
  2. Step 2: Convert to fraction form
    300,530.86/414,714.13 = 164,566.35/x
  3. Step 3: Cross multiply
    300,530.86x = 414,714.13 × 164,566.35
  4. Step 4: Simplify right side
    300,530.86x = 68,247,990,256.11
  5. Step 5: Solve for x
    x = 68,247,990,256.11/300,530.86
  6. Step 6: Final answer
    x = 227,091.46

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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.