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Finding the Fourth Proportional to 465,497.51, 642,386.99 and 264,293.51

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Solution

The fourth proportional to 465,497.51, 642,386.99 and 264,293.51 is: 364,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,497.51 : 642,386.99 = 264,293.51 : x
  2. Step 2: Convert to fraction form
    465,497.51/642,386.99 = 264,293.51/x
  3. Step 3: Cross multiply
    465,497.51x = 642,386.99 × 264,293.51
  4. Step 4: Simplify right side
    465,497.51x = 169,778,712,365.44
  5. Step 5: Solve for x
    x = 169,778,712,365.44/465,497.51
  6. Step 6: Final answer
    x = 364,725.29

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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.