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Finding the Fourth Proportional to 587,151.14, 880,866.83 and 208,105.00

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Solution

The fourth proportional to 587,151.14, 880,866.83 and 208,105.00 is: 312,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,151.14 : 880,866.83 = 208,105.00 : x
  2. Step 2: Convert to fraction form
    587,151.14/880,866.83 = 208,105.00/x
  3. Step 3: Cross multiply
    587,151.14x = 880,866.83 × 208,105.00
  4. Step 4: Simplify right side
    587,151.14x = 183,312,789,975.25
  5. Step 5: Solve for x
    x = 183,312,789,975.25/587,151.14
  6. Step 6: Final answer
    x = 312,207.16

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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.