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Finding the Fourth Proportional to 567,462.96, 783,090.32 and 312,808.64

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Solution

The fourth proportional to 567,462.96, 783,090.32 and 312,808.64 is: 431,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,462.96 : 783,090.32 = 312,808.64 : x
  2. Step 2: Convert to fraction form
    567,462.96/783,090.32 = 312,808.64/x
  3. Step 3: Cross multiply
    567,462.96x = 783,090.32 × 312,808.64
  4. Step 4: Simplify right side
    567,462.96x = 244,957,417,996.37
  5. Step 5: Solve for x
    x = 244,957,417,996.37/567,462.96
  6. Step 6: Final answer
    x = 431,671.20

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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.