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Finding the Fourth Proportional to 301,891.60, 452,837.40 and 213,318.10

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Solution

The fourth proportional to 301,891.60, 452,837.40 and 213,318.10 is: 319,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,891.60 : 452,837.40 = 213,318.10 : x
  2. Step 2: Convert to fraction form
    301,891.60/452,837.40 = 213,318.10/x
  3. Step 3: Cross multiply
    301,891.60x = 452,837.40 × 213,318.10
  4. Step 4: Simplify right side
    301,891.60x = 96,598,413,776.94
  5. Step 5: Solve for x
    x = 96,598,413,776.94/301,891.60
  6. Step 6: Final answer
    x = 319,977.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.