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Finding the Fourth Proportional to 470,188.80, 704,116.80 and 376,876.80

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Solution

The fourth proportional to 470,188.80, 704,116.80 and 376,876.80 is: 564,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,188.80 : 704,116.80 = 376,876.80 : x
  2. Step 2: Convert to fraction form
    470,188.80/704,116.80 = 376,876.80/x
  3. Step 3: Cross multiply
    470,188.80x = 704,116.80 × 376,876.80
  4. Step 4: Simplify right side
    470,188.80x = 265,365,286,410.24
  5. Step 5: Solve for x
    x = 265,365,286,410.24/470,188.80
  6. Step 6: Final answer
    x = 564,380.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.