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Finding the Fourth Proportional to 584,847.87, 877,355.48 and 180,074.32

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Solution

The fourth proportional to 584,847.87, 877,355.48 and 180,074.32 is: 270,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,847.87 : 877,355.48 = 180,074.32 : x
  2. Step 2: Convert to fraction form
    584,847.87/877,355.48 = 180,074.32/x
  3. Step 3: Cross multiply
    584,847.87x = 877,355.48 × 180,074.32
  4. Step 4: Simplify right side
    584,847.87x = 157,989,190,949.85
  5. Step 5: Solve for x
    x = 157,989,190,949.85/584,847.87
  6. Step 6: Final answer
    x = 270,137.24

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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.