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Finding the Fourth Proportional to 511,684.31, 706,135.65 and 282,248.57

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Solution

The fourth proportional to 511,684.31, 706,135.65 and 282,248.57 is: 389,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,684.31 : 706,135.65 = 282,248.57 : x
  2. Step 2: Convert to fraction form
    511,684.31/706,135.65 = 282,248.57/x
  3. Step 3: Cross multiply
    511,684.31x = 706,135.65 × 282,248.57
  4. Step 4: Simplify right side
    511,684.31x = 199,305,777,438.52
  5. Step 5: Solve for x
    x = 199,305,777,438.52/511,684.31
  6. Step 6: Final answer
    x = 389,509.26

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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.