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Finding the Fourth Proportional to 501,783.60, 693,456.84 and 410,995.80

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Solution

The fourth proportional to 501,783.60, 693,456.84 and 410,995.80 is: 567,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,783.60 : 693,456.84 = 410,995.80 : x
  2. Step 2: Convert to fraction form
    501,783.60/693,456.84 = 410,995.80/x
  3. Step 3: Cross multiply
    501,783.60x = 693,456.84 × 410,995.80
  4. Step 4: Simplify right side
    501,783.60x = 285,007,848,721.27
  5. Step 5: Solve for x
    x = 285,007,848,721.27/501,783.60
  6. Step 6: Final answer
    x = 567,989.57

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1.5x scale

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.