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Finding the Fourth Proportional to 473,643.28, 653,620.10 and 258,778.73

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Solution

The fourth proportional to 473,643.28, 653,620.10 and 258,778.73 is: 357,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,643.28 : 653,620.10 = 258,778.73 : x
  2. Step 2: Convert to fraction form
    473,643.28/653,620.10 = 258,778.73/x
  3. Step 3: Cross multiply
    473,643.28x = 653,620.10 × 258,778.73
  4. Step 4: Simplify right side
    473,643.28x = 169,142,979,720.63
  5. Step 5: Solve for x
    x = 169,142,979,720.63/473,643.28
  6. Step 6: Final answer
    x = 357,110.48

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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.