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Finding the Fourth Proportional to 347,915.84, 480,079.04 and 204,623.60

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Solution

The fourth proportional to 347,915.84, 480,079.04 and 204,623.60 is: 282,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,915.84 : 480,079.04 = 204,623.60 : x
  2. Step 2: Convert to fraction form
    347,915.84/480,079.04 = 204,623.60/x
  3. Step 3: Cross multiply
    347,915.84x = 480,079.04 × 204,623.60
  4. Step 4: Simplify right side
    347,915.84x = 98,235,498,025.83
  5. Step 5: Solve for x
    x = 98,235,498,025.83/347,915.84
  6. Step 6: Final answer
    x = 282,354.20

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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.