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Finding the Fourth Proportional to 533,543.80, 736,388.94 and 342,795.64

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Solution

The fourth proportional to 533,543.80, 736,388.94 and 342,795.64 is: 473,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,543.80 : 736,388.94 = 342,795.64 : x
  2. Step 2: Convert to fraction form
    533,543.80/736,388.94 = 342,795.64/x
  3. Step 3: Cross multiply
    533,543.80x = 736,388.94 × 342,795.64
  4. Step 4: Simplify right side
    533,543.80x = 252,430,917,976.22
  5. Step 5: Solve for x
    x = 252,430,917,976.22/533,543.80
  6. Step 6: Final answer
    x = 473,121.27

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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.