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Finding the Fourth Proportional to 468,814.29, 646,966.83 and 253,954.36

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Solution

The fourth proportional to 468,814.29, 646,966.83 and 253,954.36 is: 350,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,814.29 : 646,966.83 = 253,954.36 : x
  2. Step 2: Convert to fraction form
    468,814.29/646,966.83 = 253,954.36/x
  3. Step 3: Cross multiply
    468,814.29x = 646,966.83 × 253,954.36
  4. Step 4: Simplify right side
    468,814.29x = 164,300,047,253.88
  5. Step 5: Solve for x
    x = 164,300,047,253.88/468,814.29
  6. Step 6: Final answer
    x = 350,458.70

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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.