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Finding the Fourth Proportional to 502,646.56, 693,005.52 and 411,667.36

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Solution

The fourth proportional to 502,646.56, 693,005.52 and 411,667.36 is: 567,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,646.56 : 693,005.52 = 411,667.36 : x
  2. Step 2: Convert to fraction form
    502,646.56/693,005.52 = 411,667.36/x
  3. Step 3: Cross multiply
    502,646.56x = 693,005.52 × 411,667.36
  4. Step 4: Simplify right side
    502,646.56x = 285,287,752,883.83
  5. Step 5: Solve for x
    x = 285,287,752,883.83/502,646.56
  6. Step 6: Final answer
    x = 567,571.28

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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.