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Finding the Fourth Proportional to 559,078.10, 771,506.70 and 341,650.34

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Solution

The fourth proportional to 559,078.10, 771,506.70 and 341,650.34 is: 471,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,078.10 : 771,506.70 = 341,650.34 : x
  2. Step 2: Convert to fraction form
    559,078.10/771,506.70 = 341,650.34/x
  3. Step 3: Cross multiply
    559,078.10x = 771,506.70 × 341,650.34
  4. Step 4: Simplify right side
    559,078.10x = 263,585,526,367.28
  5. Step 5: Solve for x
    x = 263,585,526,367.28/559,078.10
  6. Step 6: Final answer
    x = 471,464.59

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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.