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Finding the Fourth Proportional to 464,389.88, 640,928.09 and 283,206.92

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Solution

The fourth proportional to 464,389.88, 640,928.09 and 283,206.92 is: 390,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,389.88 : 640,928.09 = 283,206.92 : x
  2. Step 2: Convert to fraction form
    464,389.88/640,928.09 = 283,206.92/x
  3. Step 3: Cross multiply
    464,389.88x = 640,928.09 × 283,206.92
  4. Step 4: Simplify right side
    464,389.88x = 181,515,270,310.38
  5. Step 5: Solve for x
    x = 181,515,270,310.38/464,389.88
  6. Step 6: Final answer
    x = 390,868.27

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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.