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Finding the Fourth Proportional to 329,514.40, 454,749.42 and 186,287.77

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Solution

The fourth proportional to 329,514.40, 454,749.42 and 186,287.77 is: 257,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,514.40 : 454,749.42 = 186,287.77 : x
  2. Step 2: Convert to fraction form
    329,514.40/454,749.42 = 186,287.77/x
  3. Step 3: Cross multiply
    329,514.40x = 454,749.42 × 186,287.77
  4. Step 4: Simplify right side
    329,514.40x = 84,714,255,360.59
  5. Step 5: Solve for x
    x = 84,714,255,360.59/329,514.40
  6. Step 6: Final answer
    x = 257,088.17

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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.