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Finding the Fourth Proportional to 382,238.64, 573,354.72 and 97,928.64

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Solution

The fourth proportional to 382,238.64, 573,354.72 and 97,928.64 is: 146,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,238.64 : 573,354.72 = 97,928.64 : x
  2. Step 2: Convert to fraction form
    382,238.64/573,354.72 = 97,928.64/x
  3. Step 3: Cross multiply
    382,238.64x = 573,354.72 × 97,928.64
  4. Step 4: Simplify right side
    382,238.64x = 56,147,847,967.18
  5. Step 5: Solve for x
    x = 56,147,847,967.18/382,238.64
  6. Step 6: Final answer
    x = 146,892.13

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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.