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Finding the Fourth Proportional to 353,632.51, 530,454.26 and 196,857.41

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Solution

The fourth proportional to 353,632.51, 530,454.26 and 196,857.41 is: 295,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,632.51 : 530,454.26 = 196,857.41 : x
  2. Step 2: Convert to fraction form
    353,632.51/530,454.26 = 196,857.41/x
  3. Step 3: Cross multiply
    353,632.51x = 530,454.26 × 196,857.41
  4. Step 4: Simplify right side
    353,632.51x = 104,423,850,762.78
  5. Step 5: Solve for x
    x = 104,423,850,762.78/353,632.51
  6. Step 6: Final answer
    x = 295,289.18

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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.