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Finding the Fourth Proportional to 468,814.38, 646,963.88 and 253,954.46

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Solution

The fourth proportional to 468,814.38, 646,963.88 and 253,954.46 is: 350,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,814.38 : 646,963.88 = 253,954.46 : x
  2. Step 2: Convert to fraction form
    468,814.38/646,963.88 = 253,954.46/x
  3. Step 3: Cross multiply
    468,814.38x = 646,963.88 × 253,954.46
  4. Step 4: Simplify right side
    468,814.38x = 164,299,358,280.31
  5. Step 5: Solve for x
    x = 164,299,358,280.31/468,814.38
  6. Step 6: Final answer
    x = 350,457.16

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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.