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Finding the Fourth Proportional to 462,447.45, 693,671.18 and 130,023.45

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Solution

The fourth proportional to 462,447.45, 693,671.18 and 130,023.45 is: 195,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,447.45 : 693,671.18 = 130,023.45 : x
  2. Step 2: Convert to fraction form
    462,447.45/693,671.18 = 130,023.45/x
  3. Step 3: Cross multiply
    462,447.45x = 693,671.18 × 130,023.45
  4. Step 4: Simplify right side
    462,447.45x = 90,193,519,989.17
  5. Step 5: Solve for x
    x = 90,193,519,989.17/462,447.45
  6. Step 6: Final answer
    x = 195,035.18

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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.