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Finding the Fourth Proportional to 296,604.32, 409,319.28 and 162,459.68

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Solution

The fourth proportional to 296,604.32, 409,319.28 and 162,459.68 is: 224,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,604.32 : 409,319.28 = 162,459.68 : x
  2. Step 2: Convert to fraction form
    296,604.32/409,319.28 = 162,459.68/x
  3. Step 3: Cross multiply
    296,604.32x = 409,319.28 × 162,459.68
  4. Step 4: Simplify right side
    296,604.32x = 66,497,879,246.63
  5. Step 5: Solve for x
    x = 66,497,879,246.63/296,604.32
  6. Step 6: Final answer
    x = 224,197.27

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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.