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Finding the Fourth Proportional to 469,518.21, 704,333.21 and 149,557.75

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Solution

The fourth proportional to 469,518.21, 704,333.21 and 149,557.75 is: 224,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,518.21 : 704,333.21 = 149,557.75 : x
  2. Step 2: Convert to fraction form
    469,518.21/704,333.21 = 149,557.75/x
  3. Step 3: Cross multiply
    469,518.21x = 704,333.21 × 149,557.75
  4. Step 4: Simplify right side
    469,518.21x = 105,338,490,137.88
  5. Step 5: Solve for x
    x = 105,338,490,137.88/469,518.21
  6. Step 6: Final answer
    x = 224,354.43

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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.