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Finding the Fourth Proportional to 650,469.87, 973,582.71 and 588,320.80

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Solution

The fourth proportional to 650,469.87, 973,582.71 and 588,320.80 is: 880,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,469.87 : 973,582.71 = 588,320.80 : x
  2. Step 2: Convert to fraction form
    650,469.87/973,582.71 = 588,320.80/x
  3. Step 3: Cross multiply
    650,469.87x = 973,582.71 × 588,320.80
  4. Step 4: Simplify right side
    650,469.87x = 572,778,958,813.37
  5. Step 5: Solve for x
    x = 572,778,958,813.37/650,469.87
  6. Step 6: Final answer
    x = 880,561.86

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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.