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Finding the Fourth Proportional to 308,867.04, 463,004.64 and 98,368.56

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Solution

The fourth proportional to 308,867.04, 463,004.64 and 98,368.56 is: 147,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,867.04 : 463,004.64 = 98,368.56 : x
  2. Step 2: Convert to fraction form
    308,867.04/463,004.64 = 98,368.56/x
  3. Step 3: Cross multiply
    308,867.04x = 463,004.64 × 98,368.56
  4. Step 4: Simplify right side
    308,867.04x = 45,545,099,710.12
  5. Step 5: Solve for x
    x = 45,545,099,710.12/308,867.04
  6. Step 6: Final answer
    x = 147,458.59

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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.