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Finding the Fourth Proportional to 552,199, 827,800.22 and 383,798.63

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Solution

The fourth proportional to 552,199, 827,800.22 and 383,798.63 is: 575,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,199 : 827,800.22 = 383,798.63 : x
  2. Step 2: Convert to fraction form
    552,199/827,800.22 = 383,798.63/x
  3. Step 3: Cross multiply
    552,199x = 827,800.22 × 383,798.63
  4. Step 4: Simplify right side
    552,199x = 317,708,590,349.70
  5. Step 5: Solve for x
    x = 317,708,590,349.70/552,199
  6. Step 6: Final answer
    x = 575,351.62

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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.