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Finding the Fourth Proportional to 511,864.96, 706,428.48 and 285,589.12

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Solution

The fourth proportional to 511,864.96, 706,428.48 and 285,589.12 is: 394,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,864.96 : 706,428.48 = 285,589.12 : x
  2. Step 2: Convert to fraction form
    511,864.96/706,428.48 = 285,589.12/x
  3. Step 3: Cross multiply
    511,864.96x = 706,428.48 × 285,589.12
  4. Step 4: Simplify right side
    511,864.96x = 201,748,287,946.14
  5. Step 5: Solve for x
    x = 201,748,287,946.14/511,864.96
  6. Step 6: Final answer
    x = 394,143.58

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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.