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Finding the Fourth Proportional to 511,494.12, 705,903.90 and 282,096.27

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Solution

The fourth proportional to 511,494.12, 705,903.90 and 282,096.27 is: 389,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,494.12 : 705,903.90 = 282,096.27 : x
  2. Step 2: Convert to fraction form
    511,494.12/705,903.90 = 282,096.27/x
  3. Step 3: Cross multiply
    511,494.12x = 705,903.90 × 282,096.27
  4. Step 4: Simplify right side
    511,494.12x = 199,132,857,168.45
  5. Step 5: Solve for x
    x = 199,132,857,168.45/511,494.12
  6. Step 6: Final answer
    x = 389,316.02

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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.