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Finding the Fourth Proportional to 382,287.68, 573,418.48 and 97,981.03

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Solution

The fourth proportional to 382,287.68, 573,418.48 and 97,981.03 is: 146,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,287.68 : 573,418.48 = 97,981.03 : x
  2. Step 2: Convert to fraction form
    382,287.68/573,418.48 = 97,981.03/x
  3. Step 3: Cross multiply
    382,287.68x = 573,418.48 × 97,981.03
  4. Step 4: Simplify right side
    382,287.68x = 56,184,133,291.43
  5. Step 5: Solve for x
    x = 56,184,133,291.43/382,287.68
  6. Step 6: Final answer
    x = 146,968.20

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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.