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Finding the Fourth Proportional to 471,664.85, 707,502.74 and 201,756.24

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Solution

The fourth proportional to 471,664.85, 707,502.74 and 201,756.24 is: 302,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,664.85 : 707,502.74 = 201,756.24 : x
  2. Step 2: Convert to fraction form
    471,664.85/707,502.74 = 201,756.24/x
  3. Step 3: Cross multiply
    471,664.85x = 707,502.74 × 201,756.24
  4. Step 4: Simplify right side
    471,664.85x = 142,743,091,603.32
  5. Step 5: Solve for x
    x = 142,743,091,603.32/471,664.85
  6. Step 6: Final answer
    x = 302,636.70

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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.