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Finding the Fourth Proportional to 595,288.36, 821,497.31 and 323,356.47

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Solution

The fourth proportional to 595,288.36, 821,497.31 and 323,356.47 is: 446,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,288.36 : 821,497.31 = 323,356.47 : x
  2. Step 2: Convert to fraction form
    595,288.36/821,497.31 = 323,356.47/x
  3. Step 3: Cross multiply
    595,288.36x = 821,497.31 × 323,356.47
  4. Step 4: Simplify right side
    595,288.36x = 265,636,470,276.10
  5. Step 5: Solve for x
    x = 265,636,470,276.10/595,288.36
  6. Step 6: Final answer
    x = 446,231.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.