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Finding the Fourth Proportional to 450,838.24, 622,015.68 and 259,825.52

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Solution

The fourth proportional to 450,838.24, 622,015.68 and 259,825.52 is: 358,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,838.24 : 622,015.68 = 259,825.52 : x
  2. Step 2: Convert to fraction form
    450,838.24/622,015.68 = 259,825.52/x
  3. Step 3: Cross multiply
    450,838.24x = 622,015.68 × 259,825.52
  4. Step 4: Simplify right side
    450,838.24x = 161,615,547,504.15
  5. Step 5: Solve for x
    x = 161,615,547,504.15/450,838.24
  6. Step 6: Final answer
    x = 358,477.90

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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.