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Finding the Fourth Proportional to 587,684.80, 882,596.40 and 514,201.60

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Solution

The fourth proportional to 587,684.80, 882,596.40 and 514,201.60 is: 772,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,684.80 : 882,596.40 = 514,201.60 : x
  2. Step 2: Convert to fraction form
    587,684.80/882,596.40 = 514,201.60/x
  3. Step 3: Cross multiply
    587,684.80x = 882,596.40 × 514,201.60
  4. Step 4: Simplify right side
    587,684.80x = 453,832,481,034.24
  5. Step 5: Solve for x
    x = 453,832,481,034.24/587,684.80
  6. Step 6: Final answer
    x = 772,237.91

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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.