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Finding the Fourth Proportional to 541,470, 747,204.38 and 299,735.50

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Solution

The fourth proportional to 541,470, 747,204.38 and 299,735.50 is: 413,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,470 : 747,204.38 = 299,735.50 : x
  2. Step 2: Convert to fraction form
    541,470/747,204.38 = 299,735.50/x
  3. Step 3: Cross multiply
    541,470x = 747,204.38 × 299,735.50
  4. Step 4: Simplify right side
    541,470x = 223,963,678,441.49
  5. Step 5: Solve for x
    x = 223,963,678,441.49/541,470
  6. Step 6: Final answer
    x = 413,621.58

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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.