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Finding the Fourth Proportional to 587,360.80, 823,964 and 587,360.80

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Solution

The fourth proportional to 587,360.80, 823,964 and 587,360.80 is: 823,964

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,360.80 : 823,964 = 587,360.80 : x
  2. Step 2: Convert to fraction form
    587,360.80/823,964 = 587,360.80/x
  3. Step 3: Cross multiply
    587,360.80x = 823,964 × 587,360.80
  4. Step 4: Simplify right side
    587,360.80x = 483,964,154,211.20
  5. Step 5: Solve for x
    x = 483,964,154,211.20/587,360.80
  6. Step 6: Final answer
    x = 823,964

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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.