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Finding the Fourth Proportional to 334,706.51, 461,779.52 and 213,918.50

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Solution

The fourth proportional to 334,706.51, 461,779.52 and 213,918.50 is: 295,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,706.51 : 461,779.52 = 213,918.50 : x
  2. Step 2: Convert to fraction form
    334,706.51/461,779.52 = 213,918.50/x
  3. Step 3: Cross multiply
    334,706.51x = 461,779.52 × 213,918.50
  4. Step 4: Simplify right side
    334,706.51x = 98,783,182,249.12
  5. Step 5: Solve for x
    x = 98,783,182,249.12/334,706.51
  6. Step 6: Final answer
    x = 295,133.73

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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.