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Finding the Fourth Proportional to 469,484.88, 704,234.61 and 114,505.62

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Solution

The fourth proportional to 469,484.88, 704,234.61 and 114,505.62 is: 171,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,484.88 : 704,234.61 = 114,505.62 : x
  2. Step 2: Convert to fraction form
    469,484.88/704,234.61 = 114,505.62/x
  3. Step 3: Cross multiply
    469,484.88x = 704,234.61 × 114,505.62
  4. Step 4: Simplify right side
    469,484.88x = 80,638,820,643.51
  5. Step 5: Solve for x
    x = 80,638,820,643.51/469,484.88
  6. Step 6: Final answer
    x = 171,760.21

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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.