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Finding the Fourth Proportional to 353,646, 530,473.86 and 196,182

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Solution

The fourth proportional to 353,646, 530,473.86 and 196,182 is: 294,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,646 : 530,473.86 = 196,182 : x
  2. Step 2: Convert to fraction form
    353,646/530,473.86 = 196,182/x
  3. Step 3: Cross multiply
    353,646x = 530,473.86 × 196,182
  4. Step 4: Simplify right side
    353,646x = 104,069,422,802.52
  5. Step 5: Solve for x
    x = 104,069,422,802.52/353,646
  6. Step 6: Final answer
    x = 294,275.70

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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.