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Finding the Fourth Proportional to 296,752.63, 409,292.59 and 255,429.97

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Solution

The fourth proportional to 296,752.63, 409,292.59 and 255,429.97 is: 352,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,752.63 : 409,292.59 = 255,429.97 : x
  2. Step 2: Convert to fraction form
    296,752.63/409,292.59 = 255,429.97/x
  3. Step 3: Cross multiply
    296,752.63x = 409,292.59 × 255,429.97
  4. Step 4: Simplify right side
    296,752.63x = 104,545,593,984.92
  5. Step 5: Solve for x
    x = 104,545,593,984.92/296,752.63
  6. Step 6: Final answer
    x = 352,298.80

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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.