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Finding the Fourth Proportional to 323,895.36, 446,779.62 and 208,994.16

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Solution

The fourth proportional to 323,895.36, 446,779.62 and 208,994.16 is: 288,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,895.36 : 446,779.62 = 208,994.16 : x
  2. Step 2: Convert to fraction form
    323,895.36/446,779.62 = 208,994.16/x
  3. Step 3: Cross multiply
    323,895.36x = 446,779.62 × 208,994.16
  4. Step 4: Simplify right side
    323,895.36x = 93,374,331,387.02
  5. Step 5: Solve for x
    x = 93,374,331,387.02/323,895.36
  6. Step 6: Final answer
    x = 288,285.49

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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.