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Finding the Fourth Proportional to 334,706.77, 461,779.87 and 213,918.76

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Solution

The fourth proportional to 334,706.77, 461,779.87 and 213,918.76 is: 295,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,706.77 : 461,779.87 = 213,918.76 : x
  2. Step 2: Convert to fraction form
    334,706.77/461,779.87 = 213,918.76/x
  3. Step 3: Cross multiply
    334,706.77x = 461,779.87 × 213,918.76
  4. Step 4: Simplify right side
    334,706.77x = 98,783,377,183.36
  5. Step 5: Solve for x
    x = 98,783,377,183.36/334,706.77
  6. Step 6: Final answer
    x = 295,134.09

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1.5x scale

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.