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Finding the Fourth Proportional to 475,941.34, 656,797.20 and 294,617.14

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Solution

The fourth proportional to 475,941.34, 656,797.20 and 294,617.14 is: 406,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,941.34 : 656,797.20 = 294,617.14 : x
  2. Step 2: Convert to fraction form
    475,941.34/656,797.20 = 294,617.14/x
  3. Step 3: Cross multiply
    475,941.34x = 656,797.20 × 294,617.14
  4. Step 4: Simplify right side
    475,941.34x = 193,503,712,624.01
  5. Step 5: Solve for x
    x = 193,503,712,624.01/475,941.34
  6. Step 6: Final answer
    x = 406,570.51

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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.