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Finding the Fourth Proportional to 511,083.71, 705,300.18 and 281,649.22

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Solution

The fourth proportional to 511,083.71, 705,300.18 and 281,649.22 is: 388,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,083.71 : 705,300.18 = 281,649.22 : x
  2. Step 2: Convert to fraction form
    511,083.71/705,300.18 = 281,649.22/x
  3. Step 3: Cross multiply
    511,083.71x = 705,300.18 × 281,649.22
  4. Step 4: Simplify right side
    511,083.71x = 198,647,242,743.43
  5. Step 5: Solve for x
    x = 198,647,242,743.43/511,083.71
  6. Step 6: Final answer
    x = 388,678.49

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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.