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Finding the Fourth Proportional to 468,459.97, 646,474.97 and 253,600.03

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Solution

The fourth proportional to 468,459.97, 646,474.97 and 253,600.03 is: 349,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,459.97 : 646,474.97 = 253,600.03 : x
  2. Step 2: Convert to fraction form
    468,459.97/646,474.97 = 253,600.03/x
  3. Step 3: Cross multiply
    468,459.97x = 646,474.97 × 253,600.03
  4. Step 4: Simplify right side
    468,459.97x = 163,946,071,059.65
  5. Step 5: Solve for x
    x = 163,946,071,059.65/468,459.97
  6. Step 6: Final answer
    x = 349,968.16

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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.