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Finding the Fourth Proportional to 583,172.93, 874,628.19 and 209,195.93

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Solution

The fourth proportional to 583,172.93, 874,628.19 and 209,195.93 is: 313,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,172.93 : 874,628.19 = 209,195.93 : x
  2. Step 2: Convert to fraction form
    583,172.93/874,628.19 = 209,195.93/x
  3. Step 3: Cross multiply
    583,172.93x = 874,628.19 × 209,195.93
  4. Step 4: Simplify right side
    583,172.93x = 182,968,659,797.84
  5. Step 5: Solve for x
    x = 182,968,659,797.84/583,172.93
  6. Step 6: Final answer
    x = 313,746.83

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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.