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Finding the Fourth Proportional to 656,305.16, 905,774.22 and 414,576.05

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Solution

The fourth proportional to 656,305.16, 905,774.22 and 414,576.05 is: 572,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,305.16 : 905,774.22 = 414,576.05 : x
  2. Step 2: Convert to fraction form
    656,305.16/905,774.22 = 414,576.05/x
  3. Step 3: Cross multiply
    656,305.16x = 905,774.22 × 414,576.05
  4. Step 4: Simplify right side
    656,305.16x = 375,512,293,790.56
  5. Step 5: Solve for x
    x = 375,512,293,790.56/656,305.16
  6. Step 6: Final answer
    x = 572,161.12

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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.