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Finding the Fourth Proportional to 446,813.68, 616,505 and 265,585.84

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Solution

The fourth proportional to 446,813.68, 616,505 and 265,585.84 is: 366,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,813.68 : 616,505 = 265,585.84 : x
  2. Step 2: Convert to fraction form
    446,813.68/616,505 = 265,585.84/x
  3. Step 3: Cross multiply
    446,813.68x = 616,505 × 265,585.84
  4. Step 4: Simplify right side
    446,813.68x = 163,734,998,289.20
  5. Step 5: Solve for x
    x = 163,734,998,289.20/446,813.68
  6. Step 6: Final answer
    x = 366,450.28

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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.