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Finding the Fourth Proportional to 471,711.51, 707,573.43 and 134,763.15

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Solution

The fourth proportional to 471,711.51, 707,573.43 and 134,763.15 is: 202,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,711.51 : 707,573.43 = 134,763.15 : x
  2. Step 2: Convert to fraction form
    471,711.51/707,573.43 = 134,763.15/x
  3. Step 3: Cross multiply
    471,711.51x = 707,573.43 × 134,763.15
  4. Step 4: Simplify right side
    471,711.51x = 95,354,824,283.10
  5. Step 5: Solve for x
    x = 95,354,824,283.10/471,711.51
  6. Step 6: Final answer
    x = 202,146.49

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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.