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Finding the Fourth Proportional to 389,334, 537,281.64 and 210,486

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Solution

The fourth proportional to 389,334, 537,281.64 and 210,486 is: 290,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,334 : 537,281.64 = 210,486 : x
  2. Step 2: Convert to fraction form
    389,334/537,281.64 = 210,486/x
  3. Step 3: Cross multiply
    389,334x = 537,281.64 × 210,486
  4. Step 4: Simplify right side
    389,334x = 113,090,263,277.04
  5. Step 5: Solve for x
    x = 113,090,263,277.04/389,334
  6. Step 6: Final answer
    x = 290,471.07

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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.