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Finding the Fourth Proportional to 736,235.33, 1,015,978.75 and 413,963.87

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Solution

The fourth proportional to 736,235.33, 1,015,978.75 and 413,963.87 is: 571,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,235.33 : 1,015,978.75 = 413,963.87 : x
  2. Step 2: Convert to fraction form
    736,235.33/1,015,978.75 = 413,963.87/x
  3. Step 3: Cross multiply
    736,235.33x = 1,015,978.75 × 413,963.87
  4. Step 4: Simplify right side
    736,235.33x = 420,578,489,072.96
  5. Step 5: Solve for x
    x = 420,578,489,072.96/736,235.33
  6. Step 6: Final answer
    x = 571,255.51

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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.