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Finding the Fourth Proportional to 471,382.47, 707,184.27 and 155,837.25

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Solution

The fourth proportional to 471,382.47, 707,184.27 and 155,837.25 is: 233,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,382.47 : 707,184.27 = 155,837.25 : x
  2. Step 2: Convert to fraction form
    471,382.47/707,184.27 = 155,837.25/x
  3. Step 3: Cross multiply
    471,382.47x = 707,184.27 × 155,837.25
  4. Step 4: Simplify right side
    471,382.47x = 110,205,651,880.06
  5. Step 5: Solve for x
    x = 110,205,651,880.06/471,382.47
  6. Step 6: Final answer
    x = 233,792.43

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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.