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Finding the Fourth Proportional to 473,634.56, 653,596.26 and 258,782

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Solution

The fourth proportional to 473,634.56, 653,596.26 and 258,782 is: 357,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,634.56 : 653,596.26 = 258,782 : x
  2. Step 2: Convert to fraction form
    473,634.56/653,596.26 = 258,782/x
  3. Step 3: Cross multiply
    473,634.56x = 653,596.26 × 258,782
  4. Step 4: Simplify right side
    473,634.56x = 169,138,947,355.32
  5. Step 5: Solve for x
    x = 169,138,947,355.32/473,634.56
  6. Step 6: Final answer
    x = 357,108.54

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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.