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Finding the Fourth Proportional to 308,653.20, 463,013.01 and 98,241.93

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Solution

The fourth proportional to 308,653.20, 463,013.01 and 98,241.93 is: 147,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,653.20 : 463,013.01 = 98,241.93 : x
  2. Step 2: Convert to fraction form
    308,653.20/463,013.01 = 98,241.93/x
  3. Step 3: Cross multiply
    308,653.20x = 463,013.01 × 98,241.93
  4. Step 4: Simplify right side
    308,653.20x = 45,487,291,717.51
  5. Step 5: Solve for x
    x = 45,487,291,717.51/308,653.20
  6. Step 6: Final answer
    x = 147,373.47

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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.