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Finding the Fourth Proportional to 496,021.04, 684,256.68 and 324,039.67

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Solution

The fourth proportional to 496,021.04, 684,256.68 and 324,039.67 is: 447,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,021.04 : 684,256.68 = 324,039.67 : x
  2. Step 2: Convert to fraction form
    496,021.04/684,256.68 = 324,039.67/x
  3. Step 3: Cross multiply
    496,021.04x = 684,256.68 × 324,039.67
  4. Step 4: Simplify right side
    496,021.04x = 221,726,307,927.18
  5. Step 5: Solve for x
    x = 221,726,307,927.18/496,021.04
  6. Step 6: Final answer
    x = 447,009.89

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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.