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Finding the Fourth Proportional to 523,830.56, 785,796.48 and 208,216.64

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Solution

The fourth proportional to 523,830.56, 785,796.48 and 208,216.64 is: 312,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,830.56 : 785,796.48 = 208,216.64 : x
  2. Step 2: Convert to fraction form
    523,830.56/785,796.48 = 208,216.64/x
  3. Step 3: Cross multiply
    523,830.56x = 785,796.48 × 208,216.64
  4. Step 4: Simplify right side
    523,830.56x = 163,615,902,789.43
  5. Step 5: Solve for x
    x = 163,615,902,789.43/523,830.56
  6. Step 6: Final answer
    x = 312,345.09

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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.