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Finding the Fourth Proportional to 407,880.28, 611,832.50 and 194,670.67

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Solution

The fourth proportional to 407,880.28, 611,832.50 and 194,670.67 is: 292,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,880.28 : 611,832.50 = 194,670.67 : x
  2. Step 2: Convert to fraction form
    407,880.28/611,832.50 = 194,670.67/x
  3. Step 3: Cross multiply
    407,880.28x = 611,832.50 × 194,670.67
  4. Step 4: Simplify right side
    407,880.28x = 119,105,842,702.78
  5. Step 5: Solve for x
    x = 119,105,842,702.78/407,880.28
  6. Step 6: Final answer
    x = 292,011.77

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