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Finding the Fourth Proportional to 1,097,670, 1,644,107.04 and 456,028.32

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Solution

The fourth proportional to 1,097,670, 1,644,107.04 and 456,028.32 is: 683,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,670 : 1,644,107.04 = 456,028.32 : x
  2. Step 2: Convert to fraction form
    1,097,670/1,644,107.04 = 456,028.32/x
  3. Step 3: Cross multiply
    1,097,670x = 1,644,107.04 × 456,028.32
  4. Step 4: Simplify right side
    1,097,670x = 749,759,371,351.37
  5. Step 5: Solve for x
    x = 749,759,371,351.37/1,097,670
  6. Step 6: Final answer
    x = 683,046.24

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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.