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Finding the Fourth Proportional to 517,003.32, 713,173.38 and 310,218.22

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Solution

The fourth proportional to 517,003.32, 713,173.38 and 310,218.22 is: 427,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,003.32 : 713,173.38 = 310,218.22 : x
  2. Step 2: Convert to fraction form
    517,003.32/713,173.38 = 310,218.22/x
  3. Step 3: Cross multiply
    517,003.32x = 713,173.38 × 310,218.22
  4. Step 4: Simplify right side
    517,003.32x = 221,239,376,494.98
  5. Step 5: Solve for x
    x = 221,239,376,494.98/517,003.32
  6. Step 6: Final answer
    x = 427,926.41

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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.