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Finding the Fourth Proportional to 475,708.77, 713,682.14 and 335,740.77

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Solution

The fourth proportional to 475,708.77, 713,682.14 and 335,740.77 is: 503,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,708.77 : 713,682.14 = 335,740.77 : x
  2. Step 2: Convert to fraction form
    475,708.77/713,682.14 = 335,740.77/x
  3. Step 3: Cross multiply
    475,708.77x = 713,682.14 × 335,740.77
  4. Step 4: Simplify right side
    475,708.77x = 239,612,189,540.14
  5. Step 5: Solve for x
    x = 239,612,189,540.14/475,708.77
  6. Step 6: Final answer
    x = 503,695.13

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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.