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Finding the Fourth Proportional to 477,980.84, 659,621.95 and 260,195.76

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Solution

The fourth proportional to 477,980.84, 659,621.95 and 260,195.76 is: 359,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,980.84 : 659,621.95 = 260,195.76 : x
  2. Step 2: Convert to fraction form
    477,980.84/659,621.95 = 260,195.76/x
  3. Step 3: Cross multiply
    477,980.84x = 659,621.95 × 260,195.76
  4. Step 4: Simplify right side
    477,980.84x = 171,630,833,942.44
  5. Step 5: Solve for x
    x = 171,630,833,942.44/477,980.84
  6. Step 6: Final answer
    x = 359,074.71

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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.