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Finding the Fourth Proportional to 297,290, 410,260.20 and 178,058

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Solution

The fourth proportional to 297,290, 410,260.20 and 178,058 is: 245,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,290 : 410,260.20 = 178,058 : x
  2. Step 2: Convert to fraction form
    297,290/410,260.20 = 178,058/x
  3. Step 3: Cross multiply
    297,290x = 410,260.20 × 178,058
  4. Step 4: Simplify right side
    297,290x = 73,050,110,691.60
  5. Step 5: Solve for x
    x = 73,050,110,691.60/297,290
  6. Step 6: Final answer
    x = 245,720.04

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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.