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Finding the Fourth Proportional to 567,076.23, 782,567.46 and 312,427.44

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Solution

The fourth proportional to 567,076.23, 782,567.46 and 312,427.44 is: 431,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,076.23 : 782,567.46 = 312,427.44 : x
  2. Step 2: Convert to fraction form
    567,076.23/782,567.46 = 312,427.44/x
  3. Step 3: Cross multiply
    567,076.23x = 782,567.46 × 312,427.44
  4. Step 4: Simplify right side
    567,076.23x = 244,495,548,155.10
  5. Step 5: Solve for x
    x = 244,495,548,155.10/567,076.23
  6. Step 6: Final answer
    x = 431,151.11

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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.