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Finding the Fourth Proportional to 219,216.32, 328,824.64 and 53,004.48

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Solution

The fourth proportional to 219,216.32, 328,824.64 and 53,004.48 is: 79,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,216.32 : 328,824.64 = 53,004.48 : x
  2. Step 2: Convert to fraction form
    219,216.32/328,824.64 = 53,004.48/x
  3. Step 3: Cross multiply
    219,216.32x = 328,824.64 × 53,004.48
  4. Step 4: Simplify right side
    219,216.32x = 17,429,179,054.39
  5. Step 5: Solve for x
    x = 17,429,179,054.39/219,216.32
  6. Step 6: Final answer
    x = 79,506.76

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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.