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Finding the Fourth Proportional to 341,231.80, 511,847.70 and 163,647.40

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Solution

The fourth proportional to 341,231.80, 511,847.70 and 163,647.40 is: 245,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,231.80 : 511,847.70 = 163,647.40 : x
  2. Step 2: Convert to fraction form
    341,231.80/511,847.70 = 163,647.40/x
  3. Step 3: Cross multiply
    341,231.80x = 511,847.70 × 163,647.40
  4. Step 4: Simplify right side
    341,231.80x = 83,762,545,300.98
  5. Step 5: Solve for x
    x = 83,762,545,300.98/341,231.80
  6. Step 6: Final answer
    x = 245,471.10

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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.