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Finding the Fourth Proportional to 587,335.80, 823,929 and 587,335.80

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Solution

The fourth proportional to 587,335.80, 823,929 and 587,335.80 is: 823,929

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,335.80 : 823,929 = 587,335.80 : x
  2. Step 2: Convert to fraction form
    587,335.80/823,929 = 587,335.80/x
  3. Step 3: Cross multiply
    587,335.80x = 823,929 × 587,335.80
  4. Step 4: Simplify right side
    587,335.80x = 483,922,998,358.20
  5. Step 5: Solve for x
    x = 483,922,998,358.20/587,335.80
  6. Step 6: Final answer
    x = 823,929

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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.