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Finding the Fourth Proportional to 737,749.53, 1,018,146.38 and 411,084.09

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Solution

The fourth proportional to 737,749.53, 1,018,146.38 and 411,084.09 is: 567,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,749.53 : 1,018,146.38 = 411,084.09 : x
  2. Step 2: Convert to fraction form
    737,749.53/1,018,146.38 = 411,084.09/x
  3. Step 3: Cross multiply
    737,749.53x = 1,018,146.38 × 411,084.09
  4. Step 4: Simplify right side
    737,749.53x = 418,543,776,053.67
  5. Step 5: Solve for x
    x = 418,543,776,053.67/737,749.53
  6. Step 6: Final answer
    x = 567,325.03

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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.