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Finding the Fourth Proportional to 321,059.80, 481,594.38 and 152,597.31

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Solution

The fourth proportional to 321,059.80, 481,594.38 and 152,597.31 is: 228,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,059.80 : 481,594.38 = 152,597.31 : x
  2. Step 2: Convert to fraction form
    321,059.80/481,594.38 = 152,597.31/x
  3. Step 3: Cross multiply
    321,059.80x = 481,594.38 × 152,597.31
  4. Step 4: Simplify right side
    321,059.80x = 73,490,006,899.12
  5. Step 5: Solve for x
    x = 73,490,006,899.12/321,059.80
  6. Step 6: Final answer
    x = 228,898.19

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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.