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Finding the Fourth Proportional to 337,330, 465,509.16 and 186,423.76

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Solution

The fourth proportional to 337,330, 465,509.16 and 186,423.76 is: 257,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,330 : 465,509.16 = 186,423.76 : x
  2. Step 2: Convert to fraction form
    337,330/465,509.16 = 186,423.76/x
  3. Step 3: Cross multiply
    337,330x = 465,509.16 × 186,423.76
  4. Step 4: Simplify right side
    337,330x = 86,781,967,921.64
  5. Step 5: Solve for x
    x = 86,781,967,921.64/337,330
  6. Step 6: Final answer
    x = 257,261.34

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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.