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Finding the Fourth Proportional to 323,354.06, 446,210.88 and 178,155.08

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Solution

The fourth proportional to 323,354.06, 446,210.88 and 178,155.08 is: 245,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,354.06 : 446,210.88 = 178,155.08 : x
  2. Step 2: Convert to fraction form
    323,354.06/446,210.88 = 178,155.08/x
  3. Step 3: Cross multiply
    323,354.06x = 446,210.88 × 178,155.08
  4. Step 4: Simplify right side
    323,354.06x = 79,494,735,023.27
  5. Step 5: Solve for x
    x = 79,494,735,023.27/323,354.06
  6. Step 6: Final answer
    x = 245,844.25

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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.