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Finding the Fourth Proportional to 382,064.36, 572,899.50 and 171,521.72

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Solution

The fourth proportional to 382,064.36, 572,899.50 and 171,521.72 is: 257,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,064.36 : 572,899.50 = 171,521.72 : x
  2. Step 2: Convert to fraction form
    382,064.36/572,899.50 = 171,521.72/x
  3. Step 3: Cross multiply
    382,064.36x = 572,899.50 × 171,521.72
  4. Step 4: Simplify right side
    382,064.36x = 98,264,707,627.14
  5. Step 5: Solve for x
    x = 98,264,707,627.14/382,064.36
  6. Step 6: Final answer
    x = 257,194.12

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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.