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Finding the Fourth Proportional to 468,288.26, 646,237.86 and 253,428.38

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Solution

The fourth proportional to 468,288.26, 646,237.86 and 253,428.38 is: 349,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,288.26 : 646,237.86 = 253,428.38 : x
  2. Step 2: Convert to fraction form
    468,288.26/646,237.86 = 253,428.38/x
  3. Step 3: Cross multiply
    468,288.26x = 646,237.86 × 253,428.38
  4. Step 4: Simplify right side
    468,288.26x = 163,775,013,954.47
  5. Step 5: Solve for x
    x = 163,775,013,954.47/468,288.26
  6. Step 6: Final answer
    x = 349,731.20

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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.