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Finding the Fourth Proportional to 755,813, 1,043,021.94 and 416,281.25

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Solution

The fourth proportional to 755,813, 1,043,021.94 and 416,281.25 is: 574,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,813 : 1,043,021.94 = 416,281.25 : x
  2. Step 2: Convert to fraction form
    755,813/1,043,021.94 = 416,281.25/x
  3. Step 3: Cross multiply
    755,813x = 1,043,021.94 × 416,281.25
  4. Step 4: Simplify right side
    755,813x = 434,190,476,960.63
  5. Step 5: Solve for x
    x = 434,190,476,960.63/755,813
  6. Step 6: Final answer
    x = 574,468.13

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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.