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Finding the Fourth Proportional to 468,197.89, 646,000.73 and 284,432.79

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Solution

The fourth proportional to 468,197.89, 646,000.73 and 284,432.79 is: 392,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,197.89 : 646,000.73 = 284,432.79 : x
  2. Step 2: Convert to fraction form
    468,197.89/646,000.73 = 284,432.79/x
  3. Step 3: Cross multiply
    468,197.89x = 646,000.73 × 284,432.79
  4. Step 4: Simplify right side
    468,197.89x = 183,743,785,323.77
  5. Step 5: Solve for x
    x = 183,743,785,323.77/468,197.89
  6. Step 6: Final answer
    x = 392,448.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.