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Finding the Fourth Proportional to 382,632.80, 573,949.20 and 98,322.80

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Solution

The fourth proportional to 382,632.80, 573,949.20 and 98,322.80 is: 147,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,632.80 : 573,949.20 = 98,322.80 : x
  2. Step 2: Convert to fraction form
    382,632.80/573,949.20 = 98,322.80/x
  3. Step 3: Cross multiply
    382,632.80x = 573,949.20 × 98,322.80
  4. Step 4: Simplify right side
    382,632.80x = 56,432,292,401.76
  5. Step 5: Solve for x
    x = 56,432,292,401.76/382,632.80
  6. Step 6: Final answer
    x = 147,484.20

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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.