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Finding the Fourth Proportional to 475,820.16, 656,704.32 and 294,562.56

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Solution

The fourth proportional to 475,820.16, 656,704.32 and 294,562.56 is: 406,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,820.16 : 656,704.32 = 294,562.56 : x
  2. Step 2: Convert to fraction form
    475,820.16/656,704.32 = 294,562.56/x
  3. Step 3: Cross multiply
    475,820.16x = 656,704.32 × 294,562.56
  4. Step 4: Simplify right side
    475,820.16x = 193,440,505,662.26
  5. Step 5: Solve for x
    x = 193,440,505,662.26/475,820.16
  6. Step 6: Final answer
    x = 406,541.21

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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.