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Finding the Fourth Proportional to 476,004.26, 713,054.43 and 286,360.17

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Solution

The fourth proportional to 476,004.26, 713,054.43 and 286,360.17 is: 428,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,004.26 : 713,054.43 = 286,360.17 : x
  2. Step 2: Convert to fraction form
    476,004.26/713,054.43 = 286,360.17/x
  3. Step 3: Cross multiply
    476,004.26x = 713,054.43 × 286,360.17
  4. Step 4: Simplify right side
    476,004.26x = 204,190,387,794.05
  5. Step 5: Solve for x
    x = 204,190,387,794.05/476,004.26
  6. Step 6: Final answer
    x = 428,967.57

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Why These Related Problems?

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