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Finding the Fourth Proportional to 334,704.51, 461,776.77 and 213,916.50

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Solution

The fourth proportional to 334,704.51, 461,776.77 and 213,916.50 is: 295,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,704.51 : 461,776.77 = 213,916.50 : x
  2. Step 2: Convert to fraction form
    334,704.51/461,776.77 = 213,916.50/x
  3. Step 3: Cross multiply
    334,704.51x = 461,776.77 × 213,916.50
  4. Step 4: Simplify right side
    334,704.51x = 98,781,669,350.12
  5. Step 5: Solve for x
    x = 98,781,669,350.12/334,704.51
  6. Step 6: Final answer
    x = 295,130.98

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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.