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Finding the Fourth Proportional to 257,599.44, 385,911.43 and 171,952.04

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Solution

The fourth proportional to 257,599.44, 385,911.43 and 171,952.04 is: 257,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,599.44 : 385,911.43 = 171,952.04 : x
  2. Step 2: Convert to fraction form
    257,599.44/385,911.43 = 171,952.04/x
  3. Step 3: Cross multiply
    257,599.44x = 385,911.43 × 171,952.04
  4. Step 4: Simplify right side
    257,599.44x = 66,358,255,718.26
  5. Step 5: Solve for x
    x = 66,358,255,718.26/257,599.44
  6. Step 6: Final answer
    x = 257,602.49

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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.