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Finding the Fourth Proportional to 587,533.48, 810,801.34 and 319,261.48

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Solution

The fourth proportional to 587,533.48, 810,801.34 and 319,261.48 is: 440,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,533.48 : 810,801.34 = 319,261.48 : x
  2. Step 2: Convert to fraction form
    587,533.48/810,801.34 = 319,261.48/x
  3. Step 3: Cross multiply
    587,533.48x = 810,801.34 × 319,261.48
  4. Step 4: Simplify right side
    587,533.48x = 258,857,635,794.38
  5. Step 5: Solve for x
    x = 258,857,635,794.38/587,533.48
  6. Step 6: Final answer
    x = 440,583.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.