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Finding the Fourth Proportional to 541,419.16, 812,405.40 and 361,627.12

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Solution

The fourth proportional to 541,419.16, 812,405.40 and 361,627.12 is: 542,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,419.16 : 812,405.40 = 361,627.12 : x
  2. Step 2: Convert to fraction form
    541,419.16/812,405.40 = 361,627.12/x
  3. Step 3: Cross multiply
    541,419.16x = 812,405.40 × 361,627.12
  4. Step 4: Simplify right side
    541,419.16x = 293,787,825,074.45
  5. Step 5: Solve for x
    x = 293,787,825,074.45/541,419.16
  6. Step 6: Final answer
    x = 542,625.47

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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.