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Finding the Fourth Proportional to 389,184.88, 537,054.28 and 219,408.07

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Solution

The fourth proportional to 389,184.88, 537,054.28 and 219,408.07 is: 302,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,184.88 : 537,054.28 = 219,408.07 : x
  2. Step 2: Convert to fraction form
    389,184.88/537,054.28 = 219,408.07/x
  3. Step 3: Cross multiply
    389,184.88x = 537,054.28 × 219,408.07
  4. Step 4: Simplify right side
    389,184.88x = 117,834,043,060.04
  5. Step 5: Solve for x
    x = 117,834,043,060.04/389,184.88
  6. Step 6: Final answer
    x = 302,771.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.