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Finding the Fourth Proportional to 511,511.89, 705,870.23 and 282,078.85

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Solution

The fourth proportional to 511,511.89, 705,870.23 and 282,078.85 is: 389,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,511.89 : 705,870.23 = 282,078.85 : x
  2. Step 2: Convert to fraction form
    511,511.89/705,870.23 = 282,078.85/x
  3. Step 3: Cross multiply
    511,511.89x = 705,870.23 × 282,078.85
  4. Step 4: Simplify right side
    511,511.89x = 199,111,059,552.57
  5. Step 5: Solve for x
    x = 199,111,059,552.57/511,511.89
  6. Step 6: Final answer
    x = 389,259.89

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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.