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Finding the Fourth Proportional to 511,938.36, 706,473.90 and 285,570.36

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Solution

The fourth proportional to 511,938.36, 706,473.90 and 285,570.36 is: 394,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,938.36 : 706,473.90 = 285,570.36 : x
  2. Step 2: Convert to fraction form
    511,938.36/706,473.90 = 285,570.36/x
  3. Step 3: Cross multiply
    511,938.36x = 706,473.90 × 285,570.36
  4. Step 4: Simplify right side
    511,938.36x = 201,748,005,953.60
  5. Step 5: Solve for x
    x = 201,748,005,953.60/511,938.36
  6. Step 6: Final answer
    x = 394,086.52

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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.