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Finding the Fourth Proportional to 446,643.20, 616,298.22 and 265,350.49

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Solution

The fourth proportional to 446,643.20, 616,298.22 and 265,350.49 is: 366,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,643.20 : 616,298.22 = 265,350.49 : x
  2. Step 2: Convert to fraction form
    446,643.20/616,298.22 = 265,350.49/x
  3. Step 3: Cross multiply
    446,643.20x = 616,298.22 × 265,350.49
  4. Step 4: Simplify right side
    446,643.20x = 163,535,033,122.38
  5. Step 5: Solve for x
    x = 163,535,033,122.38/446,643.20
  6. Step 6: Final answer
    x = 366,142.44

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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.