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Finding the Fourth Proportional to 570,908.16, 856,362.24 and 196,902

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Solution

The fourth proportional to 570,908.16, 856,362.24 and 196,902 is: 295,353

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,908.16 : 856,362.24 = 196,902 : x
  2. Step 2: Convert to fraction form
    570,908.16/856,362.24 = 196,902/x
  3. Step 3: Cross multiply
    570,908.16x = 856,362.24 × 196,902
  4. Step 4: Simplify right side
    570,908.16x = 168,619,437,780.48
  5. Step 5: Solve for x
    x = 168,619,437,780.48/570,908.16
  6. Step 6: Final answer
    x = 295,353

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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.