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Finding the Fourth Proportional to 462,511.06, 693,885.96 and 142,655.69

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Solution

The fourth proportional to 462,511.06, 693,885.96 and 142,655.69 is: 214,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,511.06 : 693,885.96 = 142,655.69 : x
  2. Step 2: Convert to fraction form
    462,511.06/693,885.96 = 142,655.69/x
  3. Step 3: Cross multiply
    462,511.06x = 693,885.96 × 142,655.69
  4. Step 4: Simplify right side
    462,511.06x = 98,986,782,139.83
  5. Step 5: Solve for x
    x = 98,986,782,139.83/462,511.06
  6. Step 6: Final answer
    x = 214,020.36

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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.