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Finding the Fourth Proportional to 511,683.81, 706,134.96 and 282,248.07

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Solution

The fourth proportional to 511,683.81, 706,134.96 and 282,248.07 is: 389,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,683.81 : 706,134.96 = 282,248.07 : x
  2. Step 2: Convert to fraction form
    511,683.81/706,134.96 = 282,248.07/x
  3. Step 3: Cross multiply
    511,683.81x = 706,134.96 × 282,248.07
  4. Step 4: Simplify right side
    511,683.81x = 199,305,229,619.53
  5. Step 5: Solve for x
    x = 199,305,229,619.53/511,683.81
  6. Step 6: Final answer
    x = 389,508.57

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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.