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Finding the Fourth Proportional to 465,959.04, 643,020.13 and 264,755.04

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Solution

The fourth proportional to 465,959.04, 643,020.13 and 264,755.04 is: 365,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,959.04 : 643,020.13 = 264,755.04 : x
  2. Step 2: Convert to fraction form
    465,959.04/643,020.13 = 264,755.04/x
  3. Step 3: Cross multiply
    465,959.04x = 643,020.13 × 264,755.04
  4. Step 4: Simplify right side
    465,959.04x = 170,242,820,238.96
  5. Step 5: Solve for x
    x = 170,242,820,238.96/465,959.04
  6. Step 6: Final answer
    x = 365,360.05

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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.