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Finding the Fourth Proportional to 366,339.84, 505,543.02 and 205,194.48

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Solution

The fourth proportional to 366,339.84, 505,543.02 and 205,194.48 is: 283,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,339.84 : 505,543.02 = 205,194.48 : x
  2. Step 2: Convert to fraction form
    366,339.84/505,543.02 = 205,194.48/x
  3. Step 3: Cross multiply
    366,339.84x = 505,543.02 × 205,194.48
  4. Step 4: Simplify right side
    366,339.84x = 103,734,637,106.53
  5. Step 5: Solve for x
    x = 103,734,637,106.53/366,339.84
  6. Step 6: Final answer
    x = 283,165.04

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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.