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Finding the Fourth Proportional to 412,381.68, 618,476.04 and 232,544.76

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Solution

The fourth proportional to 412,381.68, 618,476.04 and 232,544.76 is: 348,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,381.68 : 618,476.04 = 232,544.76 : x
  2. Step 2: Convert to fraction form
    412,381.68/618,476.04 = 232,544.76/x
  3. Step 3: Cross multiply
    412,381.68x = 618,476.04 × 232,544.76
  4. Step 4: Simplify right side
    412,381.68x = 143,823,362,287.55
  5. Step 5: Solve for x
    x = 143,823,362,287.55/412,381.68
  6. Step 6: Final answer
    x = 348,762.73

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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.