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Finding the Fourth Proportional to 548,837.47, 822,655.64 and 282,613.96

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Solution

The fourth proportional to 548,837.47, 822,655.64 and 282,613.96 is: 423,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,837.47 : 822,655.64 = 282,613.96 : x
  2. Step 2: Convert to fraction form
    548,837.47/822,655.64 = 282,613.96/x
  3. Step 3: Cross multiply
    548,837.47x = 822,655.64 × 282,613.96
  4. Step 4: Simplify right side
    548,837.47x = 232,493,969,871.59
  5. Step 5: Solve for x
    x = 232,493,969,871.59/548,837.47
  6. Step 6: Final answer
    x = 423,611.69

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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.