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Finding the Fourth Proportional to 473,523.13, 713,481.50 and 391,129.27

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Solution

The fourth proportional to 473,523.13, 713,481.50 and 391,129.27 is: 589,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,523.13 : 713,481.50 = 391,129.27 : x
  2. Step 2: Convert to fraction form
    473,523.13/713,481.50 = 391,129.27/x
  3. Step 3: Cross multiply
    473,523.13x = 713,481.50 × 391,129.27
  4. Step 4: Simplify right side
    473,523.13x = 279,063,498,253.51
  5. Step 5: Solve for x
    x = 279,063,498,253.51/473,523.13
  6. Step 6: Final answer
    x = 589,334.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.