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Finding the Fourth Proportional to 337,127.64, 465,167.54 and 214,669.32

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Solution

The fourth proportional to 337,127.64, 465,167.54 and 214,669.32 is: 296,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,127.64 : 465,167.54 = 214,669.32 : x
  2. Step 2: Convert to fraction form
    337,127.64/465,167.54 = 214,669.32/x
  3. Step 3: Cross multiply
    337,127.64x = 465,167.54 × 214,669.32
  4. Step 4: Simplify right side
    337,127.64x = 99,857,199,497.87
  5. Step 5: Solve for x
    x = 99,857,199,497.87/337,127.64
  6. Step 6: Final answer
    x = 296,199.98

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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.