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Finding the Fourth Proportional to 382,567.80, 573,195.60 and 182,457.30

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Solution

The fourth proportional to 382,567.80, 573,195.60 and 182,457.30 is: 273,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,567.80 : 573,195.60 = 182,457.30 : x
  2. Step 2: Convert to fraction form
    382,567.80/573,195.60 = 182,457.30/x
  3. Step 3: Cross multiply
    382,567.80x = 573,195.60 × 182,457.30
  4. Step 4: Simplify right side
    382,567.80x = 104,583,721,547.88
  5. Step 5: Solve for x
    x = 104,583,721,547.88/382,567.80
  6. Step 6: Final answer
    x = 273,373.04

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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.