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Finding the Fourth Proportional to 468,136.80, 646,026.17 and 264,254.00

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Solution

The fourth proportional to 468,136.80, 646,026.17 and 264,254.00 is: 364,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,136.80 : 646,026.17 = 264,254.00 : x
  2. Step 2: Convert to fraction form
    468,136.80/646,026.17 = 264,254.00/x
  3. Step 3: Cross multiply
    468,136.80x = 646,026.17 × 264,254.00
  4. Step 4: Simplify right side
    468,136.80x = 170,714,994,975.78
  5. Step 5: Solve for x
    x = 170,714,994,975.78/468,136.80
  6. Step 6: Final answer
    x = 364,669.03

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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.