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Finding the Fourth Proportional to 561,597.04, 842,543.34 and 201,804.22

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Solution

The fourth proportional to 561,597.04, 842,543.34 and 201,804.22 is: 302,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,597.04 : 842,543.34 = 201,804.22 : x
  2. Step 2: Convert to fraction form
    561,597.04/842,543.34 = 201,804.22/x
  3. Step 3: Cross multiply
    561,597.04x = 842,543.34 × 201,804.22
  4. Step 4: Simplify right side
    561,597.04x = 170,028,801,544.90
  5. Step 5: Solve for x
    x = 170,028,801,544.90/561,597.04
  6. Step 6: Final answer
    x = 302,759.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.