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Finding the Fourth Proportional to 427,809.25, 640,791.33 and 402,656.63

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Solution

The fourth proportional to 427,809.25, 640,791.33 and 402,656.63 is: 603,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,809.25 : 640,791.33 = 402,656.63 : x
  2. Step 2: Convert to fraction form
    427,809.25/640,791.33 = 402,656.63/x
  3. Step 3: Cross multiply
    427,809.25x = 640,791.33 × 402,656.63
  4. Step 4: Simplify right side
    427,809.25x = 258,018,874,756.18
  5. Step 5: Solve for x
    x = 258,018,874,756.18/427,809.25
  6. Step 6: Final answer
    x = 603,116.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.