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Finding the Fourth Proportional to 382,114.72, 572,298 and 182,575.36

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Solution

The fourth proportional to 382,114.72, 572,298 and 182,575.36 is: 273,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,114.72 : 572,298 = 182,575.36 : x
  2. Step 2: Convert to fraction form
    382,114.72/572,298 = 182,575.36/x
  3. Step 3: Cross multiply
    382,114.72x = 572,298 × 182,575.36
  4. Step 4: Simplify right side
    382,114.72x = 104,487,513,377.28
  5. Step 5: Solve for x
    x = 104,487,513,377.28/382,114.72
  6. Step 6: Final answer
    x = 273,445.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.