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Finding the Fourth Proportional to 389,534.12, 537,554.82 and 217,442.12

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Solution

The fourth proportional to 389,534.12, 537,554.82 and 217,442.12 is: 300,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,534.12 : 537,554.82 = 217,442.12 : x
  2. Step 2: Convert to fraction form
    389,534.12/537,554.82 = 217,442.12/x
  3. Step 3: Cross multiply
    389,534.12x = 537,554.82 × 217,442.12
  4. Step 4: Simplify right side
    389,534.12x = 116,887,059,677.02
  5. Step 5: Solve for x
    x = 116,887,059,677.02/389,534.12
  6. Step 6: Final answer
    x = 300,068.86

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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.