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Finding the Fourth Proportional to 586,399.83, 879,615.11 and 202,144.61

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Solution

The fourth proportional to 586,399.83, 879,615.11 and 202,144.61 is: 303,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,399.83 : 879,615.11 = 202,144.61 : x
  2. Step 2: Convert to fraction form
    586,399.83/879,615.11 = 202,144.61/x
  3. Step 3: Cross multiply
    586,399.83x = 879,615.11 × 202,144.61
  4. Step 4: Simplify right side
    586,399.83x = 177,809,456,065.46
  5. Step 5: Solve for x
    x = 177,809,456,065.46/586,399.83
  6. Step 6: Final answer
    x = 303,222.22

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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.