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Finding the Fourth Proportional to 511,974.80, 706,520.28 and 282,534.20

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Solution

The fourth proportional to 511,974.80, 706,520.28 and 282,534.20 is: 389,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,974.80 : 706,520.28 = 282,534.20 : x
  2. Step 2: Convert to fraction form
    511,974.80/706,520.28 = 282,534.20/x
  3. Step 3: Cross multiply
    511,974.80x = 706,520.28 × 282,534.20
  4. Step 4: Simplify right side
    511,974.80x = 199,616,142,269.93
  5. Step 5: Solve for x
    x = 199,616,142,269.93/511,974.80
  6. Step 6: Final answer
    x = 389,894.47

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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.