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Finding the Fourth Proportional to 389,173.44, 537,060.06 and 219,407.16

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Solution

The fourth proportional to 389,173.44, 537,060.06 and 219,407.16 is: 302,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,173.44 : 537,060.06 = 219,407.16 : x
  2. Step 2: Convert to fraction form
    389,173.44/537,060.06 = 219,407.16/x
  3. Step 3: Cross multiply
    389,173.44x = 537,060.06 × 219,407.16
  4. Step 4: Simplify right side
    389,173.44x = 117,834,822,514.03
  5. Step 5: Solve for x
    x = 117,834,822,514.03/389,173.44
  6. Step 6: Final answer
    x = 302,782.28

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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.