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Finding the Fourth Proportional to 590,206.47, 885,589.79 and 305,843.86

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Solution

The fourth proportional to 590,206.47, 885,589.79 and 305,843.86 is: 458,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,206.47 : 885,589.79 = 305,843.86 : x
  2. Step 2: Convert to fraction form
    590,206.47/885,589.79 = 305,843.86/x
  3. Step 3: Cross multiply
    590,206.47x = 885,589.79 × 305,843.86
  4. Step 4: Simplify right side
    590,206.47x = 270,852,199,750.19
  5. Step 5: Solve for x
    x = 270,852,199,750.19/590,206.47
  6. Step 6: Final answer
    x = 458,910.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.