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Finding the Fourth Proportional to 265,064.40, 397,460.40 and 78,051.60

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Solution

The fourth proportional to 265,064.40, 397,460.40 and 78,051.60 is: 117,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,064.40 : 397,460.40 = 78,051.60 : x
  2. Step 2: Convert to fraction form
    265,064.40/397,460.40 = 78,051.60/x
  3. Step 3: Cross multiply
    265,064.40x = 397,460.40 × 78,051.60
  4. Step 4: Simplify right side
    265,064.40x = 31,022,420,156.64
  5. Step 5: Solve for x
    x = 31,022,420,156.64/265,064.40
  6. Step 6: Final answer
    x = 117,037.29

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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.