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Finding the Fourth Proportional to 1,213,160.82, 1,819,974.54 and 465,148.50

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Solution

The fourth proportional to 1,213,160.82, 1,819,974.54 and 465,148.50 is: 697,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,160.82 : 1,819,974.54 = 465,148.50 : x
  2. Step 2: Convert to fraction form
    1,213,160.82/1,819,974.54 = 465,148.50/x
  3. Step 3: Cross multiply
    1,213,160.82x = 1,819,974.54 × 465,148.50
  4. Step 4: Simplify right side
    1,213,160.82x = 846,558,427,319.19
  5. Step 5: Solve for x
    x = 846,558,427,319.19/1,213,160.82
  6. Step 6: Final answer
    x = 697,812.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.