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Finding the Fourth Proportional to 517,469.82, 713,805.66 and 336,302.40

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Solution

The fourth proportional to 517,469.82, 713,805.66 and 336,302.40 is: 463,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,469.82 : 713,805.66 = 336,302.40 : x
  2. Step 2: Convert to fraction form
    517,469.82/713,805.66 = 336,302.40/x
  3. Step 3: Cross multiply
    517,469.82x = 713,805.66 × 336,302.40
  4. Step 4: Simplify right side
    517,469.82x = 240,054,556,591.58
  5. Step 5: Solve for x
    x = 240,054,556,591.58/517,469.82
  6. Step 6: Final answer
    x = 463,900.59

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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.