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Finding the Fourth Proportional to 389,830.20, 537,959.85 and 217,750.56

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Solution

The fourth proportional to 389,830.20, 537,959.85 and 217,750.56 is: 300,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,830.20 : 537,959.85 = 217,750.56 : x
  2. Step 2: Convert to fraction form
    389,830.20/537,959.85 = 217,750.56/x
  3. Step 3: Cross multiply
    389,830.20x = 537,959.85 × 217,750.56
  4. Step 4: Simplify right side
    389,830.20x = 117,141,058,595.02
  5. Step 5: Solve for x
    x = 117,141,058,595.02/389,830.20
  6. Step 6: Final answer
    x = 300,492.52

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