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Finding the Fourth Proportional to 474,015.60, 710,764.20 and 193,215.60

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Solution

The fourth proportional to 474,015.60, 710,764.20 and 193,215.60 is: 289,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,015.60 : 710,764.20 = 193,215.60 : x
  2. Step 2: Convert to fraction form
    474,015.60/710,764.20 = 193,215.60/x
  3. Step 3: Cross multiply
    474,015.60x = 710,764.20 × 193,215.60
  4. Step 4: Simplify right side
    474,015.60x = 137,330,731,361.52
  5. Step 5: Solve for x
    x = 137,330,731,361.52/474,015.60
  6. Step 6: Final answer
    x = 289,717.75

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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.