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Finding the Fourth Proportional to 511,800.33, 706,280.51 and 282,367.29

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Solution

The fourth proportional to 511,800.33, 706,280.51 and 282,367.29 is: 389,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,800.33 : 706,280.51 = 282,367.29 : x
  2. Step 2: Convert to fraction form
    511,800.33/706,280.51 = 282,367.29/x
  3. Step 3: Cross multiply
    511,800.33x = 706,280.51 × 282,367.29
  4. Step 4: Simplify right side
    511,800.33x = 199,430,513,588.52
  5. Step 5: Solve for x
    x = 199,430,513,588.52/511,800.33
  6. Step 6: Final answer
    x = 389,664.68

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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.