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Finding the Fourth Proportional to 473,978.75, 654,098.43 and 283,008.83

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Solution

The fourth proportional to 473,978.75, 654,098.43 and 283,008.83 is: 390,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,978.75 : 654,098.43 = 283,008.83 : x
  2. Step 2: Convert to fraction form
    473,978.75/654,098.43 = 283,008.83/x
  3. Step 3: Cross multiply
    473,978.75x = 654,098.43 × 283,008.83
  4. Step 4: Simplify right side
    473,978.75x = 185,115,628,108.65
  5. Step 5: Solve for x
    x = 185,115,628,108.65/473,978.75
  6. Step 6: Final answer
    x = 390,556.81

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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.