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Finding the Fourth Proportional to 349,820.64, 482,708.16 and 198,920.88

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Solution

The fourth proportional to 349,820.64, 482,708.16 and 198,920.88 is: 274,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,820.64 : 482,708.16 = 198,920.88 : x
  2. Step 2: Convert to fraction form
    349,820.64/482,708.16 = 198,920.88/x
  3. Step 3: Cross multiply
    349,820.64x = 482,708.16 × 198,920.88
  4. Step 4: Simplify right side
    349,820.64x = 96,020,731,970.38
  5. Step 5: Solve for x
    x = 96,020,731,970.38/349,820.64
  6. Step 6: Final answer
    x = 274,485.61

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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.