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Finding the Fourth Proportional to 219,236.32, 328,854.64 and 53,024.48

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Solution

The fourth proportional to 219,236.32, 328,854.64 and 53,024.48 is: 79,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,236.32 : 328,854.64 = 53,024.48 : x
  2. Step 2: Convert to fraction form
    219,236.32/328,854.64 = 53,024.48/x
  3. Step 3: Cross multiply
    219,236.32x = 328,854.64 × 53,024.48
  4. Step 4: Simplify right side
    219,236.32x = 17,437,346,281.59
  5. Step 5: Solve for x
    x = 17,437,346,281.59/219,236.32
  6. Step 6: Final answer
    x = 79,536.76

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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.