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Finding the Fourth Proportional to 494,210.76, 741,035.16 and 194,528.85

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Solution

The fourth proportional to 494,210.76, 741,035.16 and 194,528.85 is: 291,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,210.76 : 741,035.16 = 194,528.85 : x
  2. Step 2: Convert to fraction form
    494,210.76/741,035.16 = 194,528.85/x
  3. Step 3: Cross multiply
    494,210.76x = 741,035.16 × 194,528.85
  4. Step 4: Simplify right side
    494,210.76x = 144,152,717,484.37
  5. Step 5: Solve for x
    x = 144,152,717,484.37/494,210.76
  6. Step 6: Final answer
    x = 291,682.68

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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.