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Finding the Fourth Proportional to 297,142, 410,062.44 and 163,006

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Solution

The fourth proportional to 297,142, 410,062.44 and 163,006 is: 224,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,142 : 410,062.44 = 163,006 : x
  2. Step 2: Convert to fraction form
    297,142/410,062.44 = 163,006/x
  3. Step 3: Cross multiply
    297,142x = 410,062.44 × 163,006
  4. Step 4: Simplify right side
    297,142x = 66,842,638,094.64
  5. Step 5: Solve for x
    x = 66,842,638,094.64/297,142
  6. Step 6: Final answer
    x = 224,951.83

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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.