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Finding the Fourth Proportional to 469,385.30, 704,107.68 and 181,334.32

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Solution

The fourth proportional to 469,385.30, 704,107.68 and 181,334.32 is: 272,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,385.30 : 704,107.68 = 181,334.32 : x
  2. Step 2: Convert to fraction form
    469,385.30/704,107.68 = 181,334.32/x
  3. Step 3: Cross multiply
    469,385.30x = 704,107.68 × 181,334.32
  4. Step 4: Simplify right side
    469,385.30x = 127,678,887,359.58
  5. Step 5: Solve for x
    x = 127,678,887,359.58/469,385.30
  6. Step 6: Final answer
    x = 272,012.97

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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.