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Finding the Fourth Proportional to 511,805.34, 706,292.31 and 285,465.42

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Solution

The fourth proportional to 511,805.34, 706,292.31 and 285,465.42 is: 393,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,805.34 : 706,292.31 = 285,465.42 : x
  2. Step 2: Convert to fraction form
    511,805.34/706,292.31 = 285,465.42/x
  3. Step 3: Cross multiply
    511,805.34x = 706,292.31 × 285,465.42
  4. Step 4: Simplify right side
    511,805.34x = 201,622,030,916.92
  5. Step 5: Solve for x
    x = 201,622,030,916.92/511,805.34
  6. Step 6: Final answer
    x = 393,942.80

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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.