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Finding the Fourth Proportional to 419,859.66, 630,033.39 and 176,682.84

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Solution

The fourth proportional to 419,859.66, 630,033.39 and 176,682.84 is: 265,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,859.66 : 630,033.39 = 176,682.84 : x
  2. Step 2: Convert to fraction form
    419,859.66/630,033.39 = 176,682.84/x
  3. Step 3: Cross multiply
    419,859.66x = 630,033.39 × 176,682.84
  4. Step 4: Simplify right side
    419,859.66x = 111,316,088,640.03
  5. Step 5: Solve for x
    x = 111,316,088,640.03/419,859.66
  6. Step 6: Final answer
    x = 265,126.90

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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.