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Finding the Fourth Proportional to 541,840.32, 747,747.36 and 312,393.06

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Solution

The fourth proportional to 541,840.32, 747,747.36 and 312,393.06 is: 431,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,840.32 : 747,747.36 = 312,393.06 : x
  2. Step 2: Convert to fraction form
    541,840.32/747,747.36 = 312,393.06/x
  3. Step 3: Cross multiply
    541,840.32x = 747,747.36 × 312,393.06
  4. Step 4: Simplify right side
    541,840.32x = 233,591,085,897.32
  5. Step 5: Solve for x
    x = 233,591,085,897.32/541,840.32
  6. Step 6: Final answer
    x = 431,106.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.