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Finding the Fourth Proportional to 587,365.80, 823,971 and 587,365.80

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Solution

The fourth proportional to 587,365.80, 823,971 and 587,365.80 is: 823,971

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,365.80 : 823,971 = 587,365.80 : x
  2. Step 2: Convert to fraction form
    587,365.80/823,971 = 587,365.80/x
  3. Step 3: Cross multiply
    587,365.80x = 823,971 × 587,365.80
  4. Step 4: Simplify right side
    587,365.80x = 483,972,385,591.80
  5. Step 5: Solve for x
    x = 483,972,385,591.80/587,365.80
  6. Step 6: Final answer
    x = 823,971

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.