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Finding the Fourth Proportional to 347,970.28, 480,176.25 and 204,702.64

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Solution

The fourth proportional to 347,970.28, 480,176.25 and 204,702.64 is: 282,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,970.28 : 480,176.25 = 204,702.64 : x
  2. Step 2: Convert to fraction form
    347,970.28/480,176.25 = 204,702.64/x
  3. Step 3: Cross multiply
    347,970.28x = 480,176.25 × 204,702.64
  4. Step 4: Simplify right side
    347,970.28x = 98,293,346,040.30
  5. Step 5: Solve for x
    x = 98,293,346,040.30/347,970.28
  6. Step 6: Final answer
    x = 282,476.27

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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.