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Finding the Fourth Proportional to 511,109.11, 705,314.02 and 293,353.62

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Solution

The fourth proportional to 511,109.11, 705,314.02 and 293,353.62 is: 404,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,109.11 : 705,314.02 = 293,353.62 : x
  2. Step 2: Convert to fraction form
    511,109.11/705,314.02 = 293,353.62/x
  3. Step 3: Cross multiply
    511,109.11x = 705,314.02 × 293,353.62
  4. Step 4: Simplify right side
    511,109.11x = 206,906,421,003.75
  5. Step 5: Solve for x
    x = 206,906,421,003.75/511,109.11
  6. Step 6: Final answer
    x = 404,818.50

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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.