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Finding the Fourth Proportional to 283,483.29, 425,240.46 and 114,978.60

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Solution

The fourth proportional to 283,483.29, 425,240.46 and 114,978.60 is: 172,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,483.29 : 425,240.46 = 114,978.60 : x
  2. Step 2: Convert to fraction form
    283,483.29/425,240.46 = 114,978.60/x
  3. Step 3: Cross multiply
    283,483.29x = 425,240.46 × 114,978.60
  4. Step 4: Simplify right side
    283,483.29x = 48,893,552,754.16
  5. Step 5: Solve for x
    x = 48,893,552,754.16/283,483.29
  6. Step 6: Final answer
    x = 172,474.20

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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.