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Finding the Fourth Proportional to 541,953.84, 747,893.88 and 312,510

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Solution

The fourth proportional to 541,953.84, 747,893.88 and 312,510 is: 431,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,953.84 : 747,893.88 = 312,510 : x
  2. Step 2: Convert to fraction form
    541,953.84/747,893.88 = 312,510/x
  3. Step 3: Cross multiply
    541,953.84x = 747,893.88 × 312,510
  4. Step 4: Simplify right side
    541,953.84x = 233,724,316,438.80
  5. Step 5: Solve for x
    x = 233,724,316,438.80/541,953.84
  6. Step 6: Final answer
    x = 431,262.41

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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.