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Finding the Fourth Proportional to 534,013, 736,940.10 and 295,549

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Solution

The fourth proportional to 534,013, 736,940.10 and 295,549 is: 407,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,013 : 736,940.10 = 295,549 : x
  2. Step 2: Convert to fraction form
    534,013/736,940.10 = 295,549/x
  3. Step 3: Cross multiply
    534,013x = 736,940.10 × 295,549
  4. Step 4: Simplify right side
    534,013x = 217,801,909,614.90
  5. Step 5: Solve for x
    x = 217,801,909,614.90/534,013
  6. Step 6: Final answer
    x = 407,858.82

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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.