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Finding the Fourth Proportional to 468,655.83, 646,743.75 and 253,795.83

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Solution

The fourth proportional to 468,655.83, 646,743.75 and 253,795.83 is: 350,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,655.83 : 646,743.75 = 253,795.83 : x
  2. Step 2: Convert to fraction form
    468,655.83/646,743.75 = 253,795.83/x
  3. Step 3: Cross multiply
    468,655.83x = 646,743.75 × 253,795.83
  4. Step 4: Simplify right side
    468,655.83x = 164,140,866,828.56
  5. Step 5: Solve for x
    x = 164,140,866,828.56/468,655.83
  6. Step 6: Final answer
    x = 350,237.54

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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.