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Finding the Fourth Proportional to 215,362.24, 322,843.68 and 197,644.48

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Solution

The fourth proportional to 215,362.24, 322,843.68 and 197,644.48 is: 296,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,362.24 : 322,843.68 = 197,644.48 : x
  2. Step 2: Convert to fraction form
    215,362.24/322,843.68 = 197,644.48/x
  3. Step 3: Cross multiply
    215,362.24x = 322,843.68 × 197,644.48
  4. Step 4: Simplify right side
    215,362.24x = 63,808,271,254.89
  5. Step 5: Solve for x
    x = 63,808,271,254.89/215,362.24
  6. Step 6: Final answer
    x = 296,283.47

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1.5x scale

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.