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Finding the Fourth Proportional to 283,247.70, 390,793.79 and 160,719.81

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Solution

The fourth proportional to 283,247.70, 390,793.79 and 160,719.81 is: 221,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,247.70 : 390,793.79 = 160,719.81 : x
  2. Step 2: Convert to fraction form
    283,247.70/390,793.79 = 160,719.81/x
  3. Step 3: Cross multiply
    283,247.70x = 390,793.79 × 160,719.81
  4. Step 4: Simplify right side
    283,247.70x = 62,808,303,908.47
  5. Step 5: Solve for x
    x = 62,808,303,908.47/283,247.70
  6. Step 6: Final answer
    x = 221,743.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.