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Finding the Fourth Proportional to 411,864.61, 618,233.61 and 364,785.33

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Solution

The fourth proportional to 411,864.61, 618,233.61 and 364,785.33 is: 547,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,864.61 : 618,233.61 = 364,785.33 : x
  2. Step 2: Convert to fraction form
    411,864.61/618,233.61 = 364,785.33/x
  3. Step 3: Cross multiply
    411,864.61x = 618,233.61 × 364,785.33
  4. Step 4: Simplify right side
    411,864.61x = 225,522,551,440.94
  5. Step 5: Solve for x
    x = 225,522,551,440.94/411,864.61
  6. Step 6: Final answer
    x = 547,564.77

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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.