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Finding the Fourth Proportional to 416,704.74, 575,051.99 and 225,718.89

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Solution

The fourth proportional to 416,704.74, 575,051.99 and 225,718.89 is: 311,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,704.74 : 575,051.99 = 225,718.89 : x
  2. Step 2: Convert to fraction form
    416,704.74/575,051.99 = 225,718.89/x
  3. Step 3: Cross multiply
    416,704.74x = 575,051.99 × 225,718.89
  4. Step 4: Simplify right side
    416,704.74x = 129,800,096,875.09
  5. Step 5: Solve for x
    x = 129,800,096,875.09/416,704.74
  6. Step 6: Final answer
    x = 311,491.77

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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.