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Finding the Fourth Proportional to 601,690.87, 902,529.34 and 146,284.68

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Solution

The fourth proportional to 601,690.87, 902,529.34 and 146,284.68 is: 219,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,690.87 : 902,529.34 = 146,284.68 : x
  2. Step 2: Convert to fraction form
    601,690.87/902,529.34 = 146,284.68/x
  3. Step 3: Cross multiply
    601,690.87x = 902,529.34 × 146,284.68
  4. Step 4: Simplify right side
    601,690.87x = 132,026,218,711.29
  5. Step 5: Solve for x
    x = 132,026,218,711.29/601,690.87
  6. Step 6: Final answer
    x = 219,425.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.