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Finding the Fourth Proportional to 260,051.40, 390,077.10 and 171,477.90

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Solution

The fourth proportional to 260,051.40, 390,077.10 and 171,477.90 is: 257,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,051.40 : 390,077.10 = 171,477.90 : x
  2. Step 2: Convert to fraction form
    260,051.40/390,077.10 = 171,477.90/x
  3. Step 3: Cross multiply
    260,051.40x = 390,077.10 × 171,477.90
  4. Step 4: Simplify right side
    260,051.40x = 66,889,601,946.09
  5. Step 5: Solve for x
    x = 66,889,601,946.09/260,051.40
  6. Step 6: Final answer
    x = 257,216.85

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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.