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Finding the Fourth Proportional to 1,312,136.40, 1,966,966.20 and 712,213.20

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Solution

The fourth proportional to 1,312,136.40, 1,966,966.20 and 712,213.20 is: 1,067,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,136.40 : 1,966,966.20 = 712,213.20 : x
  2. Step 2: Convert to fraction form
    1,312,136.40/1,966,966.20 = 712,213.20/x
  3. Step 3: Cross multiply
    1,312,136.40x = 1,966,966.20 × 712,213.20
  4. Step 4: Simplify right side
    1,312,136.40x = 1,400,899,291,593.84
  5. Step 5: Solve for x
    x = 1,400,899,291,593.84/1,312,136.40
  6. Step 6: Final answer
    x = 1,067,647.61

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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.