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Finding the Fourth Proportional to 323,547.46, 446,475.85 and 178,346.88

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Solution

The fourth proportional to 323,547.46, 446,475.85 and 178,346.88 is: 246,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,547.46 : 446,475.85 = 178,346.88 : x
  2. Step 2: Convert to fraction form
    323,547.46/446,475.85 = 178,346.88/x
  3. Step 3: Cross multiply
    323,547.46x = 446,475.85 × 178,346.88
  4. Step 4: Simplify right side
    323,547.46x = 79,627,574,396.98
  5. Step 5: Solve for x
    x = 79,627,574,396.98/323,547.46
  6. Step 6: Final answer
    x = 246,107.87

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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.