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Finding the Fourth Proportional to 296,568.64, 409,364.52 and 180,281.68

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Solution

The fourth proportional to 296,568.64, 409,364.52 and 180,281.68 is: 248,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,568.64 : 409,364.52 = 180,281.68 : x
  2. Step 2: Convert to fraction form
    296,568.64/409,364.52 = 180,281.68/x
  3. Step 3: Cross multiply
    296,568.64x = 409,364.52 × 180,281.68
  4. Step 4: Simplify right side
    296,568.64x = 73,800,923,397.99
  5. Step 5: Solve for x
    x = 73,800,923,397.99/296,568.64
  6. Step 6: Final answer
    x = 248,849.38

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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.