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Finding the Fourth Proportional to 473,441.80, 653,353.26 and 258,577.96

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Solution

The fourth proportional to 473,441.80, 653,353.26 and 258,577.96 is: 356,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,441.80 : 653,353.26 = 258,577.96 : x
  2. Step 2: Convert to fraction form
    473,441.80/653,353.26 = 258,577.96/x
  3. Step 3: Cross multiply
    473,441.80x = 653,353.26 × 258,577.96
  4. Step 4: Simplify right side
    473,441.80x = 168,942,753,130.15
  5. Step 5: Solve for x
    x = 168,942,753,130.15/473,441.80
  6. Step 6: Final answer
    x = 356,839.54

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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.