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Finding the Fourth Proportional to 407,408.40, 611,112.60 and 323,427.60

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Solution

The fourth proportional to 407,408.40, 611,112.60 and 323,427.60 is: 485,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,408.40 : 611,112.60 = 323,427.60 : x
  2. Step 2: Convert to fraction form
    407,408.40/611,112.60 = 323,427.60/x
  3. Step 3: Cross multiply
    407,408.40x = 611,112.60 × 323,427.60
  4. Step 4: Simplify right side
    407,408.40x = 197,650,681,547.76
  5. Step 5: Solve for x
    x = 197,650,681,547.76/407,408.40
  6. Step 6: Final answer
    x = 485,141.40

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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.