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Finding the Fourth Proportional to 297,140, 410,059.68 and 163,004

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Solution

The fourth proportional to 297,140, 410,059.68 and 163,004 is: 224,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,140 : 410,059.68 = 163,004 : x
  2. Step 2: Convert to fraction form
    297,140/410,059.68 = 163,004/x
  3. Step 3: Cross multiply
    297,140x = 410,059.68 × 163,004
  4. Step 4: Simplify right side
    297,140x = 66,841,368,078.72
  5. Step 5: Solve for x
    x = 66,841,368,078.72/297,140
  6. Step 6: Final answer
    x = 224,949.07

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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.