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Finding the Fourth Proportional to 214,689.47, 321,535.89 and 207,216.30

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Solution

The fourth proportional to 214,689.47, 321,535.89 and 207,216.30 is: 310,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,689.47 : 321,535.89 = 207,216.30 : x
  2. Step 2: Convert to fraction form
    214,689.47/321,535.89 = 207,216.30/x
  3. Step 3: Cross multiply
    214,689.47x = 321,535.89 × 207,216.30
  4. Step 4: Simplify right side
    214,689.47x = 66,627,477,443.01
  5. Step 5: Solve for x
    x = 66,627,477,443.01/214,689.47
  6. Step 6: Final answer
    x = 310,343.49

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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.