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Finding the Fourth Proportional to 587,230.80, 878,513.40 and 509,211.60

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Solution

The fourth proportional to 587,230.80, 878,513.40 and 509,211.60 is: 761,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,230.80 : 878,513.40 = 509,211.60 : x
  2. Step 2: Convert to fraction form
    587,230.80/878,513.40 = 509,211.60/x
  3. Step 3: Cross multiply
    587,230.80x = 878,513.40 × 509,211.60
  4. Step 4: Simplify right side
    587,230.80x = 447,349,214,035.44
  5. Step 5: Solve for x
    x = 447,349,214,035.44/587,230.80
  6. Step 6: Final answer
    x = 761,794.53

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1.5x scale

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.