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Finding the Fourth Proportional to 632,942.28, 873,460.62 and 346,464

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Solution

The fourth proportional to 632,942.28, 873,460.62 and 346,464 is: 478,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,942.28 : 873,460.62 = 346,464 : x
  2. Step 2: Convert to fraction form
    632,942.28/873,460.62 = 346,464/x
  3. Step 3: Cross multiply
    632,942.28x = 873,460.62 × 346,464
  4. Step 4: Simplify right side
    632,942.28x = 302,622,660,247.68
  5. Step 5: Solve for x
    x = 302,622,660,247.68/632,942.28
  6. Step 6: Final answer
    x = 478,120.47

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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.