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Finding the Fourth Proportional to 337,342.72, 465,514.68 and 186,430

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Solution

The fourth proportional to 337,342.72, 465,514.68 and 186,430 is: 257,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,342.72 : 465,514.68 = 186,430 : x
  2. Step 2: Convert to fraction form
    337,342.72/465,514.68 = 186,430/x
  3. Step 3: Cross multiply
    337,342.72x = 465,514.68 × 186,430
  4. Step 4: Simplify right side
    337,342.72x = 86,785,901,792.40
  5. Step 5: Solve for x
    x = 86,785,901,792.40/337,342.72
  6. Step 6: Final answer
    x = 257,263.30

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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.