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Finding the Fourth Proportional to 296,752.38, 409,292.25 and 255,429.72

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Solution

The fourth proportional to 296,752.38, 409,292.25 and 255,429.72 is: 352,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,752.38 : 409,292.25 = 255,429.72 : x
  2. Step 2: Convert to fraction form
    296,752.38/409,292.25 = 255,429.72/x
  3. Step 3: Cross multiply
    296,752.38x = 409,292.25 × 255,429.72
  4. Step 4: Simplify right side
    296,752.38x = 104,545,404,815.67
  5. Step 5: Solve for x
    x = 104,545,404,815.67/296,752.38
  6. Step 6: Final answer
    x = 352,298.45

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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.