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Finding the Fourth Proportional to 469,406.40, 704,455.20 and 189,124.80

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Solution

The fourth proportional to 469,406.40, 704,455.20 and 189,124.80 is: 283,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,406.40 : 704,455.20 = 189,124.80 : x
  2. Step 2: Convert to fraction form
    469,406.40/704,455.20 = 189,124.80/x
  3. Step 3: Cross multiply
    469,406.40x = 704,455.20 × 189,124.80
  4. Step 4: Simplify right side
    469,406.40x = 133,229,948,808.96
  5. Step 5: Solve for x
    x = 133,229,948,808.96/469,406.40
  6. Step 6: Final answer
    x = 283,826.44

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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.