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Finding the Fourth Proportional to 214,709.60, 322,064.40 and 202,462.40

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Solution

The fourth proportional to 214,709.60, 322,064.40 and 202,462.40 is: 303,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,709.60 : 322,064.40 = 202,462.40 : x
  2. Step 2: Convert to fraction form
    214,709.60/322,064.40 = 202,462.40/x
  3. Step 3: Cross multiply
    214,709.60x = 322,064.40 × 202,462.40
  4. Step 4: Simplify right side
    214,709.60x = 65,205,931,378.56
  5. Step 5: Solve for x
    x = 65,205,931,378.56/214,709.60
  6. Step 6: Final answer
    x = 303,693.60

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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.