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Finding the Fourth Proportional to 483,080.14, 724,712.25 and 194,914.64

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Solution

The fourth proportional to 483,080.14, 724,712.25 and 194,914.64 is: 292,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,080.14 : 724,712.25 = 194,914.64 : x
  2. Step 2: Convert to fraction form
    483,080.14/724,712.25 = 194,914.64/x
  3. Step 3: Cross multiply
    483,080.14x = 724,712.25 × 194,914.64
  4. Step 4: Simplify right side
    483,080.14x = 141,257,027,312.34
  5. Step 5: Solve for x
    x = 141,257,027,312.34/483,080.14
  6. Step 6: Final answer
    x = 292,409.10

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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.