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Finding the Fourth Proportional to 511,958.13, 706,502.52 and 285,603.63

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Solution

The fourth proportional to 511,958.13, 706,502.52 and 285,603.63 is: 394,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,958.13 : 706,502.52 = 285,603.63 : x
  2. Step 2: Convert to fraction form
    511,958.13/706,502.52 = 285,603.63/x
  3. Step 3: Cross multiply
    511,958.13x = 706,502.52 × 285,603.63
  4. Step 4: Simplify right side
    511,958.13x = 201,779,684,316.15
  5. Step 5: Solve for x
    x = 201,779,684,316.15/511,958.13
  6. Step 6: Final answer
    x = 394,133.18

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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.