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Finding the Fourth Proportional to 765,679, 1,148,528.22 and 267,043

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Solution

The fourth proportional to 765,679, 1,148,528.22 and 267,043 is: 400,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,679 : 1,148,528.22 = 267,043 : x
  2. Step 2: Convert to fraction form
    765,679/1,148,528.22 = 267,043/x
  3. Step 3: Cross multiply
    765,679x = 1,148,528.22 × 267,043
  4. Step 4: Simplify right side
    765,679x = 306,706,421,453.46
  5. Step 5: Solve for x
    x = 306,706,421,453.46/765,679
  6. Step 6: Final answer
    x = 400,567.89

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Why These Related Problems?

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