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Finding the Fourth Proportional to 465,644.10, 642,642.15 and 258,933.15

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Solution

The fourth proportional to 465,644.10, 642,642.15 and 258,933.15 is: 357,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,644.10 : 642,642.15 = 258,933.15 : x
  2. Step 2: Convert to fraction form
    465,644.10/642,642.15 = 258,933.15/x
  3. Step 3: Cross multiply
    465,644.10x = 642,642.15 × 258,933.15
  4. Step 4: Simplify right side
    465,644.10x = 166,401,356,222.27
  5. Step 5: Solve for x
    x = 166,401,356,222.27/465,644.10
  6. Step 6: Final answer
    x = 357,357.38

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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.