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Finding the Fourth Proportional to 511,711.17, 706,162.10 and 282,263.28

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Solution

The fourth proportional to 511,711.17, 706,162.10 and 282,263.28 is: 389,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,711.17 : 706,162.10 = 282,263.28 : x
  2. Step 2: Convert to fraction form
    511,711.17/706,162.10 = 282,263.28/x
  3. Step 3: Cross multiply
    511,711.17x = 706,162.10 × 282,263.28
  4. Step 4: Simplify right side
    511,711.17x = 199,323,629,146.37
  5. Step 5: Solve for x
    x = 199,323,629,146.37/511,711.17
  6. Step 6: Final answer
    x = 389,523.70

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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.