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Finding the Fourth Proportional to 830,256, 1,245,384 and 269,290.50

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Solution

The fourth proportional to 830,256, 1,245,384 and 269,290.50 is: 403,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,256 : 1,245,384 = 269,290.50 : x
  2. Step 2: Convert to fraction form
    830,256/1,245,384 = 269,290.50/x
  3. Step 3: Cross multiply
    830,256x = 1,245,384 × 269,290.50
  4. Step 4: Simplify right side
    830,256x = 335,370,080,052
  5. Step 5: Solve for x
    x = 335,370,080,052/830,256
  6. Step 6: Final answer
    x = 403,935.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.