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Finding the Fourth Proportional to 471,501.77, 707,259.15 and 134,542.32

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Solution

The fourth proportional to 471,501.77, 707,259.15 and 134,542.32 is: 201,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,501.77 : 707,259.15 = 134,542.32 : x
  2. Step 2: Convert to fraction form
    471,501.77/707,259.15 = 134,542.32/x
  3. Step 3: Cross multiply
    471,501.77x = 707,259.15 × 134,542.32
  4. Step 4: Simplify right side
    471,501.77x = 95,156,286,882.23
  5. Step 5: Solve for x
    x = 95,156,286,882.23/471,501.77
  6. Step 6: Final answer
    x = 201,815.33

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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.