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Finding the Fourth Proportional to 523,978.80, 785,968.20 and 384,010.80

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Solution

The fourth proportional to 523,978.80, 785,968.20 and 384,010.80 is: 576,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,978.80 : 785,968.20 = 384,010.80 : x
  2. Step 2: Convert to fraction form
    523,978.80/785,968.20 = 384,010.80/x
  3. Step 3: Cross multiply
    523,978.80x = 785,968.20 × 384,010.80
  4. Step 4: Simplify right side
    523,978.80x = 301,820,277,256.56
  5. Step 5: Solve for x
    x = 301,820,277,256.56/523,978.80
  6. Step 6: Final answer
    x = 576,016.20

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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.