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Finding the Fourth Proportional to 382,808.64, 573,790.02 and 158,045.16

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Solution

The fourth proportional to 382,808.64, 573,790.02 and 158,045.16 is: 236,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,808.64 : 573,790.02 = 158,045.16 : x
  2. Step 2: Convert to fraction form
    382,808.64/573,790.02 = 158,045.16/x
  3. Step 3: Cross multiply
    382,808.64x = 573,790.02 × 158,045.16
  4. Step 4: Simplify right side
    382,808.64x = 90,684,735,517.30
  5. Step 5: Solve for x
    x = 90,684,735,517.30/382,808.64
  6. Step 6: Final answer
    x = 236,893.13

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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.