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Finding the Fourth Proportional to 737,745.84, 1,018,141.40 and 411,080.54

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Solution

The fourth proportional to 737,745.84, 1,018,141.40 and 411,080.54 is: 567,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,745.84 : 1,018,141.40 = 411,080.54 : x
  2. Step 2: Convert to fraction form
    737,745.84/1,018,141.40 = 411,080.54/x
  3. Step 3: Cross multiply
    737,745.84x = 1,018,141.40 × 411,080.54
  4. Step 4: Simplify right side
    737,745.84x = 418,538,110,133.02
  5. Step 5: Solve for x
    x = 418,538,110,133.02/737,745.84
  6. Step 6: Final answer
    x = 567,320.19

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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.