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Finding the Fourth Proportional to 300,594, 414,819.84 and 166,458

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Solution

The fourth proportional to 300,594, 414,819.84 and 166,458 is: 229,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,594 : 414,819.84 = 166,458 : x
  2. Step 2: Convert to fraction form
    300,594/414,819.84 = 166,458/x
  3. Step 3: Cross multiply
    300,594x = 414,819.84 × 166,458
  4. Step 4: Simplify right side
    300,594x = 69,050,080,926.72
  5. Step 5: Solve for x
    x = 69,050,080,926.72/300,594
  6. Step 6: Final answer
    x = 229,712.11

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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.