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Finding the Fourth Proportional to 520,980, 781,571.52 and 221,457.12

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Solution

The fourth proportional to 520,980, 781,571.52 and 221,457.12 is: 332,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,980 : 781,571.52 = 221,457.12 : x
  2. Step 2: Convert to fraction form
    520,980/781,571.52 = 221,457.12/x
  3. Step 3: Cross multiply
    520,980x = 781,571.52 × 221,457.12
  4. Step 4: Simplify right side
    520,980x = 173,084,577,893.22
  5. Step 5: Solve for x
    x = 173,084,577,893.22/520,980
  6. Step 6: Final answer
    x = 332,228.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.