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Finding the Fourth Proportional to 353,641.75, 530,468.19 and 196,866.65

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Solution

The fourth proportional to 353,641.75, 530,468.19 and 196,866.65 is: 295,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,641.75 : 530,468.19 = 196,866.65 : x
  2. Step 2: Convert to fraction form
    353,641.75/530,468.19 = 196,866.65/x
  3. Step 3: Cross multiply
    353,641.75x = 530,468.19 × 196,866.65
  4. Step 4: Simplify right side
    353,641.75x = 104,431,496,823.03
  5. Step 5: Solve for x
    x = 104,431,496,823.03/353,641.75
  6. Step 6: Final answer
    x = 295,303.08

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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.