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Finding the Fourth Proportional to 511,516.11, 705,876.06 and 282,083.07

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Solution

The fourth proportional to 511,516.11, 705,876.06 and 282,083.07 is: 389,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,516.11 : 705,876.06 = 282,083.07 : x
  2. Step 2: Convert to fraction form
    511,516.11/705,876.06 = 282,083.07/x
  3. Step 3: Cross multiply
    511,516.11x = 705,876.06 × 282,083.07
  4. Step 4: Simplify right side
    511,516.11x = 199,115,686,044.30
  5. Step 5: Solve for x
    x = 199,115,686,044.30/511,516.11
  6. Step 6: Final answer
    x = 389,265.72

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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.