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Finding the Fourth Proportional to 543,610.40, 815,415.60 and 459,629.60

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Solution

The fourth proportional to 543,610.40, 815,415.60 and 459,629.60 is: 689,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,610.40 : 815,415.60 = 459,629.60 : x
  2. Step 2: Convert to fraction form
    543,610.40/815,415.60 = 459,629.60/x
  3. Step 3: Cross multiply
    543,610.40x = 815,415.60 × 459,629.60
  4. Step 4: Simplify right side
    543,610.40x = 374,789,146,061.76
  5. Step 5: Solve for x
    x = 374,789,146,061.76/543,610.40
  6. Step 6: Final answer
    x = 689,444.40

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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.