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Finding the Fourth Proportional to 348,698.76, 522,549.12 and 198,629.16

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Solution

The fourth proportional to 348,698.76, 522,549.12 and 198,629.16 is: 297,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,698.76 : 522,549.12 = 198,629.16 : x
  2. Step 2: Convert to fraction form
    348,698.76/522,549.12 = 198,629.16/x
  3. Step 3: Cross multiply
    348,698.76x = 522,549.12 × 198,629.16
  4. Step 4: Simplify right side
    348,698.76x = 103,793,492,764.34
  5. Step 5: Solve for x
    x = 103,793,492,764.34/348,698.76
  6. Step 6: Final answer
    x = 297,659.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.