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Finding the Fourth Proportional to 511,555.92, 705,935.46 and 282,106.67

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Solution

The fourth proportional to 511,555.92, 705,935.46 and 282,106.67 is: 389,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,555.92 : 705,935.46 = 282,106.67 : x
  2. Step 2: Convert to fraction form
    511,555.92/705,935.46 = 282,106.67/x
  3. Step 3: Cross multiply
    511,555.92x = 705,935.46 × 282,106.67
  4. Step 4: Simplify right side
    511,555.92x = 199,149,099,383.74
  5. Step 5: Solve for x
    x = 199,149,099,383.74/511,555.92
  6. Step 6: Final answer
    x = 389,300.75

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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.