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Finding the Fourth Proportional to 465,497.01, 642,386.30 and 264,293.01

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Solution

The fourth proportional to 465,497.01, 642,386.30 and 264,293.01 is: 364,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,497.01 : 642,386.30 = 264,293.01 : x
  2. Step 2: Convert to fraction form
    465,497.01/642,386.30 = 264,293.01/x
  3. Step 3: Cross multiply
    465,497.01x = 642,386.30 × 264,293.01
  4. Step 4: Simplify right side
    465,497.01x = 169,778,207,488.30
  5. Step 5: Solve for x
    x = 169,778,207,488.30/465,497.01
  6. Step 6: Final answer
    x = 364,724.59

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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.