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Finding the Fourth Proportional to 567,464.96, 783,093.08 and 312,810.64

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Solution

The fourth proportional to 567,464.96, 783,093.08 and 312,810.64 is: 431,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,464.96 : 783,093.08 = 312,810.64 : x
  2. Step 2: Convert to fraction form
    567,464.96/783,093.08 = 312,810.64/x
  3. Step 3: Cross multiply
    567,464.96x = 783,093.08 × 312,810.64
  4. Step 4: Simplify right side
    567,464.96x = 244,959,847,534.37
  5. Step 5: Solve for x
    x = 244,959,847,534.37/567,464.96
  6. Step 6: Final answer
    x = 431,673.96

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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.