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Finding the Fourth Proportional to 587,089, 880,633.50 and 143,857

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Solution

The fourth proportional to 587,089, 880,633.50 and 143,857 is: 215,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,089 : 880,633.50 = 143,857 : x
  2. Step 2: Convert to fraction form
    587,089/880,633.50 = 143,857/x
  3. Step 3: Cross multiply
    587,089x = 880,633.50 × 143,857
  4. Step 4: Simplify right side
    587,089x = 126,685,293,409.50
  5. Step 5: Solve for x
    x = 126,685,293,409.50/587,089
  6. Step 6: Final answer
    x = 215,785.50

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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.