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Finding the Fourth Proportional to 475,954.24, 656,821.92 and 261,094.72

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Solution

The fourth proportional to 475,954.24, 656,821.92 and 261,094.72 is: 360,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,954.24 : 656,821.92 = 261,094.72 : x
  2. Step 2: Convert to fraction form
    475,954.24/656,821.92 = 261,094.72/x
  3. Step 3: Cross multiply
    475,954.24x = 656,821.92 × 261,094.72
  4. Step 4: Simplify right side
    475,954.24x = 171,492,735,292.26
  5. Step 5: Solve for x
    x = 171,492,735,292.26/475,954.24
  6. Step 6: Final answer
    x = 360,313.49

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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.