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Finding the Fourth Proportional to 389,693, 537,776.34 and 210,845

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Solution

The fourth proportional to 389,693, 537,776.34 and 210,845 is: 290,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,693 : 537,776.34 = 210,845 : x
  2. Step 2: Convert to fraction form
    389,693/537,776.34 = 210,845/x
  3. Step 3: Cross multiply
    389,693x = 537,776.34 × 210,845
  4. Step 4: Simplify right side
    389,693x = 113,387,452,407.30
  5. Step 5: Solve for x
    x = 113,387,452,407.30/389,693
  6. Step 6: Final answer
    x = 290,966.10

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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.