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Finding the Fourth Proportional to 337,714.59, 466,047.08 and 186,811.59

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Solution

The fourth proportional to 337,714.59, 466,047.08 and 186,811.59 is: 257,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,714.59 : 466,047.08 = 186,811.59 : x
  2. Step 2: Convert to fraction form
    337,714.59/466,047.08 = 186,811.59/x
  3. Step 3: Cross multiply
    337,714.59x = 466,047.08 × 186,811.59
  4. Step 4: Simplify right side
    337,714.59x = 87,062,996,029.66
  5. Step 5: Solve for x
    x = 87,062,996,029.66/337,714.59
  6. Step 6: Final answer
    x = 257,800.52

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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.