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Finding the Fourth Proportional to 308,968.90, 463,453.35 and 98,628.10

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Solution

The fourth proportional to 308,968.90, 463,453.35 and 98,628.10 is: 147,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,968.90 : 463,453.35 = 98,628.10 : x
  2. Step 2: Convert to fraction form
    308,968.90/463,453.35 = 98,628.10/x
  3. Step 3: Cross multiply
    308,968.90x = 463,453.35 × 98,628.10
  4. Step 4: Simplify right side
    308,968.90x = 45,709,523,349.14
  5. Step 5: Solve for x
    x = 45,709,523,349.14/308,968.90
  6. Step 6: Final answer
    x = 147,942.15

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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.