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Finding the Fourth Proportional to 876,471, 1,209,532.14 and 474,063

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Solution

The fourth proportional to 876,471, 1,209,532.14 and 474,063 is: 654,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,471 : 1,209,532.14 = 474,063 : x
  2. Step 2: Convert to fraction form
    876,471/1,209,532.14 = 474,063/x
  3. Step 3: Cross multiply
    876,471x = 1,209,532.14 × 474,063
  4. Step 4: Simplify right side
    876,471x = 573,394,434,884.82
  5. Step 5: Solve for x
    x = 573,394,434,884.82/876,471
  6. Step 6: Final answer
    x = 654,208.11

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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.