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Finding the Fourth Proportional to 587,090.82, 880,358.67 and 227,430.14

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Solution

The fourth proportional to 587,090.82, 880,358.67 and 227,430.14 is: 341,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,090.82 : 880,358.67 = 227,430.14 : x
  2. Step 2: Convert to fraction form
    587,090.82/880,358.67 = 227,430.14/x
  3. Step 3: Cross multiply
    587,090.82x = 880,358.67 × 227,430.14
  4. Step 4: Simplify right side
    587,090.82x = 200,220,091,166.52
  5. Step 5: Solve for x
    x = 200,220,091,166.52/587,090.82
  6. Step 6: Final answer
    x = 341,037.68

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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.