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Finding the Fourth Proportional to 586,132.89, 879,189.65 and 186,768.24

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Solution

The fourth proportional to 586,132.89, 879,189.65 and 186,768.24 is: 280,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,132.89 : 879,189.65 = 186,768.24 : x
  2. Step 2: Convert to fraction form
    586,132.89/879,189.65 = 186,768.24/x
  3. Step 3: Cross multiply
    586,132.89x = 879,189.65 × 186,768.24
  4. Step 4: Simplify right side
    586,132.89x = 164,204,702,622.88
  5. Step 5: Solve for x
    x = 164,204,702,622.88/586,132.89
  6. Step 6: Final answer
    x = 280,149.27

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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.