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Finding the Fourth Proportional to 587,102.14, 810,201.07 and 357,659.41

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Solution

The fourth proportional to 587,102.14, 810,201.07 and 357,659.41 is: 493,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,102.14 : 810,201.07 = 357,659.41 : x
  2. Step 2: Convert to fraction form
    587,102.14/810,201.07 = 357,659.41/x
  3. Step 3: Cross multiply
    587,102.14x = 810,201.07 × 357,659.41
  4. Step 4: Simplify right side
    587,102.14x = 289,776,034,889.27
  5. Step 5: Solve for x
    x = 289,776,034,889.27/587,102.14
  6. Step 6: Final answer
    x = 493,570.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.