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Finding the Fourth Proportional to 456,552.87, 684,922.71 and 156,994.55

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Solution

The fourth proportional to 456,552.87, 684,922.71 and 156,994.55 is: 235,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,552.87 : 684,922.71 = 156,994.55 : x
  2. Step 2: Convert to fraction form
    456,552.87/684,922.71 = 156,994.55/x
  3. Step 3: Cross multiply
    456,552.87x = 684,922.71 × 156,994.55
  4. Step 4: Simplify right side
    456,552.87x = 107,529,129,216.62
  5. Step 5: Solve for x
    x = 107,529,129,216.62/456,552.87
  6. Step 6: Final answer
    x = 235,523.94

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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.