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Finding the Fourth Proportional to 353,646.50, 530,474.61 and 196,182.50

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Solution

The fourth proportional to 353,646.50, 530,474.61 and 196,182.50 is: 294,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,646.50 : 530,474.61 = 196,182.50 : x
  2. Step 2: Convert to fraction form
    353,646.50/530,474.61 = 196,182.50/x
  3. Step 3: Cross multiply
    353,646.50x = 530,474.61 × 196,182.50
  4. Step 4: Simplify right side
    353,646.50x = 104,069,835,176.33
  5. Step 5: Solve for x
    x = 104,069,835,176.33/353,646.50
  6. Step 6: Final answer
    x = 294,276.45

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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.