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Finding the Fourth Proportional to 508,713.32, 763,025.70 and 193,172.60

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Solution

The fourth proportional to 508,713.32, 763,025.70 and 193,172.60 is: 289,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,713.32 : 763,025.70 = 193,172.60 : x
  2. Step 2: Convert to fraction form
    508,713.32/763,025.70 = 193,172.60/x
  3. Step 3: Cross multiply
    508,713.32x = 763,025.70 × 193,172.60
  4. Step 4: Simplify right side
    508,713.32x = 147,395,658,335.82
  5. Step 5: Solve for x
    x = 147,395,658,335.82/508,713.32
  6. Step 6: Final answer
    x = 289,742.09

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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.