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Finding the Fourth Proportional to 331,379.30, 457,303.38 and 180,476.30

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Solution

The fourth proportional to 331,379.30, 457,303.38 and 180,476.30 is: 249,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,379.30 : 457,303.38 = 180,476.30 : x
  2. Step 2: Convert to fraction form
    331,379.30/457,303.38 = 180,476.30/x
  3. Step 3: Cross multiply
    331,379.30x = 457,303.38 × 180,476.30
  4. Step 4: Simplify right side
    331,379.30x = 82,532,421,999.89
  5. Step 5: Solve for x
    x = 82,532,421,999.89/331,379.30
  6. Step 6: Final answer
    x = 249,057.26

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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.