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Finding the Fourth Proportional to 465,494.01, 642,382.16 and 264,290.01

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Solution

The fourth proportional to 465,494.01, 642,382.16 and 264,290.01 is: 364,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,494.01 : 642,382.16 = 264,290.01 : x
  2. Step 2: Convert to fraction form
    465,494.01/642,382.16 = 264,290.01/x
  3. Step 3: Cross multiply
    465,494.01x = 642,382.16 × 264,290.01
  4. Step 4: Simplify right side
    465,494.01x = 169,775,186,168.77
  5. Step 5: Solve for x
    x = 169,775,186,168.77/465,494.01
  6. Step 6: Final answer
    x = 364,720.45

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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.