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Finding the Fourth Proportional to 853,571.86, 1,177,953.06 and 471,623.38

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Solution

The fourth proportional to 853,571.86, 1,177,953.06 and 471,623.38 is: 650,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,571.86 : 1,177,953.06 = 471,623.38 : x
  2. Step 2: Convert to fraction form
    853,571.86/1,177,953.06 = 471,623.38/x
  3. Step 3: Cross multiply
    853,571.86x = 1,177,953.06 × 471,623.38
  4. Step 4: Simplify right side
    853,571.86x = 555,550,202,462.25
  5. Step 5: Solve for x
    x = 555,550,202,462.25/853,571.86
  6. Step 6: Final answer
    x = 650,853.47

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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.