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Finding the Fourth Proportional to 465,516.48, 642,467.52 and 261,567.84

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Solution

The fourth proportional to 465,516.48, 642,467.52 and 261,567.84 is: 360,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,516.48 : 642,467.52 = 261,567.84 : x
  2. Step 2: Convert to fraction form
    465,516.48/642,467.52 = 261,567.84/x
  3. Step 3: Cross multiply
    465,516.48x = 642,467.52 × 261,567.84
  4. Step 4: Simplify right side
    465,516.48x = 168,048,841,476.56
  5. Step 5: Solve for x
    x = 168,048,841,476.56/465,516.48
  6. Step 6: Final answer
    x = 360,994.40

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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.