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Finding the Fourth Proportional to 549,848.64, 758,755.20 and 323,450.40

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Solution

The fourth proportional to 549,848.64, 758,755.20 and 323,450.40 is: 446,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,848.64 : 758,755.20 = 323,450.40 : x
  2. Step 2: Convert to fraction form
    549,848.64/758,755.20 = 323,450.40/x
  3. Step 3: Cross multiply
    549,848.64x = 758,755.20 × 323,450.40
  4. Step 4: Simplify right side
    549,848.64x = 245,419,672,942.08
  5. Step 5: Solve for x
    x = 245,419,672,942.08/549,848.64
  6. Step 6: Final answer
    x = 446,340.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.