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Finding the Fourth Proportional to 382,287.80, 573,418.67 and 97,981.16

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Solution

The fourth proportional to 382,287.80, 573,418.67 and 97,981.16 is: 146,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,287.80 : 573,418.67 = 97,981.16 : x
  2. Step 2: Convert to fraction form
    382,287.80/573,418.67 = 97,981.16/x
  3. Step 3: Cross multiply
    382,287.80x = 573,418.67 × 97,981.16
  4. Step 4: Simplify right side
    382,287.80x = 56,184,223,095.26
  5. Step 5: Solve for x
    x = 56,184,223,095.26/382,287.80
  6. Step 6: Final answer
    x = 146,968.39

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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.