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Finding the Fourth Proportional to 469,628.44, 704,464.98 and 149,814.28

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Solution

The fourth proportional to 469,628.44, 704,464.98 and 149,814.28 is: 224,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,628.44 : 704,464.98 = 149,814.28 : x
  2. Step 2: Convert to fraction form
    469,628.44/704,464.98 = 149,814.28/x
  3. Step 3: Cross multiply
    469,628.44x = 704,464.98 × 149,814.28
  4. Step 4: Simplify right side
    469,628.44x = 105,538,913,763.91
  5. Step 5: Solve for x
    x = 105,538,913,763.91/469,628.44
  6. Step 6: Final answer
    x = 224,728.54

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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.