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Finding the Fourth Proportional to 469,813.59, 648,343.17 and 254,953.65

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Solution

The fourth proportional to 469,813.59, 648,343.17 and 254,953.65 is: 351,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,813.59 : 648,343.17 = 254,953.65 : x
  2. Step 2: Convert to fraction form
    469,813.59/648,343.17 = 254,953.65/x
  3. Step 3: Cross multiply
    469,813.59x = 648,343.17 × 254,953.65
  4. Step 4: Simplify right side
    469,813.59x = 165,297,461,150.94
  5. Step 5: Solve for x
    x = 165,297,461,150.94/469,813.59
  6. Step 6: Final answer
    x = 351,836.27

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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.