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Finding the Fourth Proportional to 308,915.12, 463,440.60 and 175,857.68

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Solution

The fourth proportional to 308,915.12, 463,440.60 and 175,857.68 is: 263,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,915.12 : 463,440.60 = 175,857.68 : x
  2. Step 2: Convert to fraction form
    308,915.12/463,440.60 = 175,857.68/x
  3. Step 3: Cross multiply
    308,915.12x = 463,440.60 × 175,857.68
  4. Step 4: Simplify right side
    308,915.12x = 81,499,588,733.81
  5. Step 5: Solve for x
    x = 81,499,588,733.81/308,915.12
  6. Step 6: Final answer
    x = 263,825.19

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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.