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Finding the Fourth Proportional to 337,113, 465,216 and 186,219.72

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Solution

The fourth proportional to 337,113, 465,216 and 186,219.72 is: 256,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,113 : 465,216 = 186,219.72 : x
  2. Step 2: Convert to fraction form
    337,113/465,216 = 186,219.72/x
  3. Step 3: Cross multiply
    337,113x = 465,216 × 186,219.72
  4. Step 4: Simplify right side
    337,113x = 86,632,393,259.52
  5. Step 5: Solve for x
    x = 86,632,393,259.52/337,113
  6. Step 6: Final answer
    x = 256,983.25

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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.