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Finding the Fourth Proportional to 471,914.51, 707,715.93 and 187,675.58

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Solution

The fourth proportional to 471,914.51, 707,715.93 and 187,675.58 is: 281,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,914.51 : 707,715.93 = 187,675.58 : x
  2. Step 2: Convert to fraction form
    471,914.51/707,715.93 = 187,675.58/x
  3. Step 3: Cross multiply
    471,914.51x = 707,715.93 × 187,675.58
  4. Step 4: Simplify right side
    471,914.51x = 132,821,000,111.06
  5. Step 5: Solve for x
    x = 132,821,000,111.06/471,914.51
  6. Step 6: Final answer
    x = 281,451.40

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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.