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Finding the Fourth Proportional to 511,560.36, 705,927.42 and 282,157.56

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Solution

The fourth proportional to 511,560.36, 705,927.42 and 282,157.56 is: 389,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,560.36 : 705,927.42 = 282,157.56 : x
  2. Step 2: Convert to fraction form
    511,560.36/705,927.42 = 282,157.56/x
  3. Step 3: Cross multiply
    511,560.36x = 705,927.42 × 282,157.56
  4. Step 4: Simplify right side
    511,560.36x = 199,182,758,364.30
  5. Step 5: Solve for x
    x = 199,182,758,364.30/511,560.36
  6. Step 6: Final answer
    x = 389,363.16

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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.