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Finding the Fourth Proportional to 538,469.60, 807,704.40 and 314,083.40

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Solution

The fourth proportional to 538,469.60, 807,704.40 and 314,083.40 is: 471,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,469.60 : 807,704.40 = 314,083.40 : x
  2. Step 2: Convert to fraction form
    538,469.60/807,704.40 = 314,083.40/x
  3. Step 3: Cross multiply
    538,469.60x = 807,704.40 × 314,083.40
  4. Step 4: Simplify right side
    538,469.60x = 253,686,544,146.96
  5. Step 5: Solve for x
    x = 253,686,544,146.96/538,469.60
  6. Step 6: Final answer
    x = 471,125.10

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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.