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Finding the Fourth Proportional to 345,804.24, 477,223.20 and 194,898

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Solution

The fourth proportional to 345,804.24, 477,223.20 and 194,898 is: 268,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,804.24 : 477,223.20 = 194,898 : x
  2. Step 2: Convert to fraction form
    345,804.24/477,223.20 = 194,898/x
  3. Step 3: Cross multiply
    345,804.24x = 477,223.20 × 194,898
  4. Step 4: Simplify right side
    345,804.24x = 93,009,847,233.60
  5. Step 5: Solve for x
    x = 93,009,847,233.60/345,804.24
  6. Step 6: Final answer
    x = 268,966.76

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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.