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Finding the Fourth Proportional to 511,497.97, 705,851.74 and 282,055.14

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Solution

The fourth proportional to 511,497.97, 705,851.74 and 282,055.14 is: 389,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,497.97 : 705,851.74 = 282,055.14 : x
  2. Step 2: Convert to fraction form
    511,497.97/705,851.74 = 282,055.14/x
  3. Step 3: Cross multiply
    511,497.97x = 705,851.74 × 282,055.14
  4. Step 4: Simplify right side
    511,497.97x = 199,089,111,344.94
  5. Step 5: Solve for x
    x = 199,089,111,344.94/511,497.97
  6. Step 6: Final answer
    x = 389,227.57

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1.5x scale

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.