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Finding the Fourth Proportional to 541,941.84, 747,877.32 and 312,498

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Solution

The fourth proportional to 541,941.84, 747,877.32 and 312,498 is: 431,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,941.84 : 747,877.32 = 312,498 : x
  2. Step 2: Convert to fraction form
    541,941.84/747,877.32 = 312,498/x
  3. Step 3: Cross multiply
    541,941.84x = 747,877.32 × 312,498
  4. Step 4: Simplify right side
    541,941.84x = 233,710,166,745.36
  5. Step 5: Solve for x
    x = 233,710,166,745.36/541,941.84
  6. Step 6: Final answer
    x = 431,245.85

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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.