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Finding the Fourth Proportional to 407,880.54, 611,832.87 and 194,670.92

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Solution

The fourth proportional to 407,880.54, 611,832.87 and 194,670.92 is: 292,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,880.54 : 611,832.87 = 194,670.92 : x
  2. Step 2: Convert to fraction form
    407,880.54/611,832.87 = 194,670.92/x
  3. Step 3: Cross multiply
    407,880.54x = 611,832.87 × 194,670.92
  4. Step 4: Simplify right side
    407,880.54x = 119,106,069,218.72
  5. Step 5: Solve for x
    x = 119,106,069,218.72/407,880.54
  6. Step 6: Final answer
    x = 292,012.14

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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.