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Finding the Fourth Proportional to 469,458.02, 704,010.20 and 169,864.52

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Solution

The fourth proportional to 469,458.02, 704,010.20 and 169,864.52 is: 254,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,458.02 : 704,010.20 = 169,864.52 : x
  2. Step 2: Convert to fraction form
    469,458.02/704,010.20 = 169,864.52/x
  3. Step 3: Cross multiply
    469,458.02x = 704,010.20 × 169,864.52
  4. Step 4: Simplify right side
    469,458.02x = 119,586,354,698.10
  5. Step 5: Solve for x
    x = 119,586,354,698.10/469,458.02
  6. Step 6: Final answer
    x = 254,732.80

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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.