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Finding the Fourth Proportional to 297,580.71, 410,669.40 and 175,081.64

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Solution

The fourth proportional to 297,580.71, 410,669.40 and 175,081.64 is: 241,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,580.71 : 410,669.40 = 175,081.64 : x
  2. Step 2: Convert to fraction form
    297,580.71/410,669.40 = 175,081.64/x
  3. Step 3: Cross multiply
    297,580.71x = 410,669.40 × 175,081.64
  4. Step 4: Simplify right side
    297,580.71x = 71,900,672,049.82
  5. Step 5: Solve for x
    x = 71,900,672,049.82/297,580.71
  6. Step 6: Final answer
    x = 241,617.38

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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.