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Finding the Fourth Proportional to 469,732.32, 704,596.58 and 170,142.78

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Solution

The fourth proportional to 469,732.32, 704,596.58 and 170,142.78 is: 255,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,732.32 : 704,596.58 = 170,142.78 : x
  2. Step 2: Convert to fraction form
    469,732.32/704,596.58 = 170,142.78/x
  3. Step 3: Cross multiply
    469,732.32x = 704,596.58 × 170,142.78
  4. Step 4: Simplify right side
    469,732.32x = 119,882,020,048.98
  5. Step 5: Solve for x
    x = 119,882,020,048.98/469,732.32
  6. Step 6: Final answer
    x = 255,213.48

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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.